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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Representations of Lie and linear algebraic groups over local fields, Linear algebraic groups over local fields and their integers, Langlands-Weil conjectures, nonabelian class field theory, Geometric invariant theory
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Dolgachev, I.: Orbital counting of curves on algebraic surfaces and sphere packings, K3 surfaces and their moduli. pp. 17-53 (2016). 10.1007/978-3-319-29959-4_2 Automorphisms of surfaces and higher-dimensional varieties, Kleinian groups (aspects of compact Riemann surfaces and uniformization), Rational and ruled surfaces, \(K3\) surfaces and Enriques surfaces, Reflection and Coxeter groups (group-theoretic aspects), Discrete subgroups of Lie groups, Hyperbolic and elliptic geometries (general) and generalizations, Packing and covering in \(2\) dimensions (aspects of discrete geometry), Packing and covering in \(n\) dimensions (aspects of discrete geometry)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Linear algebraic groups over local fields and their integers, General properties and structure of other Lie groups, Algebraic groups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Theta functions and abelian varieties, Loop groups and related constructions, group-theoretic treatment
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Grassmannians, Schubert varieties, flag manifolds, Coadjoint orbits; nilpotent varieties, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Combinatorial aspects of representation theory, Hecke algebras and their representations, Braid groups; Artin groups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Serre, J.-P., Un critère d'indépendance pour une famille de représentations \textit{\(\mathcal{l}\)}-adiques, Comment. Math. Helv., 88, 3, 541-554, (2013) Étale and other Grothendieck topologies and (co)homologies, Galois theory, Galois theory, Linear algebraic groups over local fields and their integers
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Haines, T.; Rostami, S., \textit{the Satake isomorphism for special maximal parahoric algebras}, Represent. Theory, 14, 264-284, (2010) Representations of Lie and linear algebraic groups over local fields, Linear algebraic groups over local fields and their integers, Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Algebraic moduli problems, moduli of vector bundles, Singularities in algebraic geometry, Asymptotic properties of groups, Linear algebraic groups over local fields and their integers, Deformations of singularities, Symplectic structures of moduli spaces
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Group actions on varieties or schemes (quotients), Free nonabelian groups, Topology of real algebraic varieties, Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Étale and other Grothendieck topologies and (co)homologies, Linear algebraic groups over local fields and their integers, Maximal subgroups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Bertram Kostant and Shrawan Kumar, \?-equivariant \?-theory of generalized flag varieties, Proc. Nat. Acad. Sci. U.S.A. 84 (1987), no. 13, 4351 -- 4354. Equivariant fiber spaces and bundles in algebraic topology, Loop groups and related constructions, group-theoretic treatment, Homogeneous spaces and generalizations, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Equivariant \(K\)-theory, Homology and cohomology of homogeneous spaces of Lie groups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Arcs and motivic integration, Applications of model theory, Analysis on \(p\)-adic Lie groups, Linear algebraic groups over local fields and their integers
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) M. Ehrig, MV-polytopes via affine buildings, Duke Math. J. 155 (2010), 433--482. Semisimple Lie groups and their representations, Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Compactifications; symmetric and spherical varieties, Structure theory for Lie algebras and superalgebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Grassmannians, Schubert varieties, flag manifolds, Arithmetic aspects of modular and Shimura varieties, Group schemes, Linear algebraic groups over arbitrary fields, Linear algebraic groups over local fields and their integers, Kac-Moody groups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Cohomology of Lie (super)algebras, Infinite-dimensional Lie (super)algebras, Lie algebras of vector fields and related (super) algebras, Algebraic moduli problems, moduli of vector bundles, Formal methods and deformations in algebraic geometry
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Biswas, I.; Parameswaran, A. J.; Subramanian, S., Monodromy group for a strongly semistable principal bundle over a curve, Duke Math. J., 132, 1-48, (2006) Group schemes, Vector bundles on curves and their moduli, Coverings of curves, fundamental group, Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Algebraic moduli problems, moduli of vector bundles, Structure of modular groups and generalizations; arithmetic groups, Discrete subgroups of Lie groups, Real algebraic sets, Period matrices, variation of Hodge structure; degenerations, Relations with algebraic geometry and topology, Relations with arrangements of hyperplanes, Structure of families (Picard-Lefschetz, monodromy, etc.)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Variation of Hodge structures (algebro-geometric aspects), Homogeneous spaces and generalizations, Lie algebras of linear algebraic groups, Linear algebraic groups and related topics, Homogeneous complex manifolds, Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Biswal, R; Fourier, G, Minuscule Schubert varieties: poset polytopes, PBW-degenerated Demazure modules, and kogan faces, Algebr. Represent. Theory, 18, 1481-1503, (2015) Combinatorial aspects of representation theory, Toric varieties, Newton polyhedra, Okounkov bodies, Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Classical problems, Schubert calculus
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Braverman, A., Finkelberg, M., Kazhdan, D.: Affine Gindikin-Karpelevich formula via Uhlenbeck spaces. In: Contributions in Analytic and Algebraic Number Theory, Springer Proceedings in Mathematics, vol. 9, pp. 17-29. Springer, New York (2012) Kac-Moody groups, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Loop groups and related constructions, group-theoretic treatment, Algebraic moduli problems, moduli of vector bundles
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) W. Rossmann: Picard-Lefschetz theory for the coadjoint quotient of a semisimple Lie algebra, Invent. math.121, 531--578 (1995) Representations of Lie and linear algebraic groups over real fields: analytic methods, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Structure of families (Picard-Lefschetz, monodromy, etc.)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Fourier coefficients of automorphic forms, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Jacobi forms, Other groups and their modular and automorphic forms (several variables), Moduli, classification: analytic theory; relations with modular forms, \(K3\) surfaces and Enriques surfaces, Mirror symmetry (algebro-geometric aspects), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Relationships between surfaces, higher-dimensional varieties, and physics, Infinite-dimensional Lie (super)algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Geometric Langlands program: representation-theoretic aspects, Group schemes, Semisimple Lie groups and their representations, Linear algebraic groups over local fields and their integers
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Geck, M.,''An introduction to algebraic geometry and algebraic groups,'' Oxford Graduate Texts in Mathematics 10, Oxford Univer sity Press, Oxford, 2003. Classical groups (algebro-geometric aspects), Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Group actions on varieties or schemes (quotients), Linear algebraic groups over local fields and their integers, Group actions on affine varieties, Rational and birational maps, Grassmannians, Schubert varieties, flag manifolds, Linear algebraic groups over finite fields, Research exposition (monographs, survey articles) pertaining to group theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory, Homogeneous spaces and generalizations
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Deformation quantization, star products, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Virasoro and related algebras
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Feĭgin, Boris L.; Frenkel, Edward V., Affine Kac-Moody algebras and semi-infinite flag manifolds, Comm. Math. Phys., 128, 1, 161-189, (1990) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds, Cohomology of Lie (super)algebras, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Étale and other Grothendieck topologies and (co)homologies, Group schemes, Linear algebraic groups over local fields and their integers, Group varieties, Cohomology theory for linear algebraic groups, Linear algebraic groups over adèles and other rings and schemes
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Y. Taguchi and D. Wan, ''Entireness of \(L\)-functions of \(\phi\)-sheaves on affine complete intersections,'' J. Number Theory, vol. 63, iss. 1, pp. 170-179, 1997. Drinfel'd modules; higher-dimensional motives, etc., \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Arithmetic aspects of modular and Shimura varieties, Linear algebraic groups over local fields and their integers, Formal groups, \(p\)-divisible groups, Modular and Shimura varieties
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Group actions on varieties or schemes (quotients), Geometric invariant theory, Other algebraic groups (geometric aspects), Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Group actions on affine varieties, Automorphisms, derivations, other operators for Lie algebras and super algebras, Infinite-dimensional Lie (super)algebras, Lie algebras of vector fields and related (super) algebras, Representation theory for linear algebraic groups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) S.~Suga, Highest weight modules associated with classical irreducible regular prehomogeneous vector spaces of commutative parabolic type, Osaka J. Math. 28 (1991), 323--346. Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Homogeneous spaces and generalizations
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Hubert Rubenthaler, Les paires duales dans les algèbres de Lie réductives, Astérisque 219 (1994), 121 (French, with English and French summaries). Simple, semisimple, reductive (super)algebras, Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras, Lie algebras of Lie groups, Exceptional (super)algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Homogeneous spaces and generalizations
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Cohomology of arithmetic groups, Discrete subgroups of Lie groups, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Intersection homology and cohomology in algebraic topology, Modular and Shimura varieties, Representations of Lie and linear algebraic groups over real fields: analytic methods
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Hopf algebras and their applications, Affine algebraic groups, hyperalgebra constructions, Linear algebraic groups and related topics
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Vignéras, M-F, Cohomology of sheaves on the building and \(R\)-representations, Invent. Math., 127, 349-373, (1997) Representation theory for linear algebraic groups, Cohomology theory for linear algebraic groups, Linear algebraic groups over local fields and their integers
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Di Cerbo, L.; Stover, M., \textit{classification and arithmeticity of toroidal compactifications with 3c_{2} = c_{1}2 = 3}, Geom. Topol. Hyperbolic and Kobayashi hyperbolic manifolds, Discrete subgroups of Lie groups, Fuchsian groups and their generalizations (group-theoretic aspects), Homogeneous spaces and generalizations, General geometric structures on low-dimensional manifolds
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Umeda, T.: The capelli identities, a century after Sūgaku. 46, 206-227 (1994) Representation theory for linear algebraic groups, Vector and tensor algebra, theory of invariants, Actions of groups on commutative rings; invariant theory, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), History of mathematics in the 19th century, Quantum groups (quantized enveloping algebras) and related deformations, Universal enveloping (super)algebras, Noncommutative topology, Noncommutative differential geometry, Group actions on varieties or schemes (quotients)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Koppinen, M.: Decomposing and lifting hyperalgebras. (1983) Representation theory for linear algebraic groups, Affine algebraic groups, hyperalgebra constructions, Linear algebraic groups over arbitrary fields, Lie algebras of linear algebraic groups, Research exposition (monographs, survey articles) pertaining to group theory
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras, Quantum groups (quantized enveloping algebras) and related deformations, Linear algebraic groups over local fields and their integers, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory, Representation theory for linear algebraic groups, Linear algebraic groups over arbitrary fields, Affine algebraic groups, hyperalgebra constructions, Nilpotent and solvable Lie groups, Linear algebraic groups and related topics
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Infinite-dimensional Lie (super)algebras, Formal groups, \(p\)-divisible groups, Leibniz algebras
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Semisimple Lie groups and their representations, Differentiable maps on manifolds, Theory of singularities and catastrophe theory, Differentiable functions on analytic spaces, differentiable spaces, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Simple, semisimple, reductive (super)algebras, Research exposition (monographs, survey articles) pertaining to topological groups, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) DOI: 10.1007/BF01168157 Representation theory for linear algebraic groups, Linear algebraic groups over arbitrary fields, Affine algebraic groups, hyperalgebra constructions, Group actions on varieties or schemes (quotients)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Minimal model program (Mori theory, extremal rays), Classical groups (algebro-geometric aspects), Affine algebraic groups, hyperalgebra constructions, Coadjoint orbits; nilpotent varieties, Poisson algebras
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Bruhat, F.; Tits, J., Groupes réductifs sur un corps local I, Publ. Math. Inst. Hautes Études Sci., 41, 5-251, (1972) Algebraic groups, Linear algebraic groups over local fields and their integers, Lie groups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Kirwan F.C., Lee R., Weintraub S.H.: Quotients of the complex ball by discrete groups. Pac. J. Math. 130, 115--141 (1987) Discontinuous groups of transformations, Homological methods in group theory, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Discrete subgroups of Lie groups, Transcendental methods, Hodge theory (algebro-geometric aspects), Global theory and resolution of singularities (algebro-geometric aspects)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Penkov I., Generic representations of classical Lie superalgebras and their localization, Monatsh. Math. 118 (1994), no. 3-4, 267-313. Graded Lie (super)algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Homological methods in Lie (super)algebras, Supervarieties
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Group schemes, Grassmannians, Schubert varieties, flag manifolds, Cohomology theory for linear algebraic groups, Linear algebraic groups over global fields and their integers, Linear algebraic groups over local fields and their integers
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Saito, K.: Around the theory of the generalized weight system: relations with singularity theory, the generalized Weyl group and its invariant theory, etc.. Sugaku 38, 97-115 (1986) Fuchsian groups and their generalizations (group-theoretic aspects), Simple, semisimple, reductive (super)algebras, Infinite-dimensional Lie groups and their Lie algebras: general properties, Singularities of surfaces or higher-dimensional varieties, Geometric invariant theory, Infinite-dimensional Lie (super)algebras, Applications of Lie groups to the sciences; explicit representations, Lie algebras of Lie groups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Cohomology of Lie (super)algebras, Virasoro and related algebras, Infinite-dimensional Lie (super)algebras, Lie algebras of vector fields and related (super) algebras, Formal methods and deformations in algebraic geometry, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Schlage-Puchta, Jan-Christoph; Wolfart, Jürgen, How many quasiplatonic surfaces?, Arch. Math. (Basel), 86, 2, 129-132, (2006) Subgroup theorems; subgroup growth, Fuchsian groups and their generalizations (group-theoretic aspects), Discrete subgroups of Lie groups, Compact Riemann surfaces and uniformization, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Coverings of curves, fundamental group, Riemann surfaces; Weierstrass points; gap sequences, Asymptotic results on counting functions for algebraic and topological structures
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) V. Koziarz and J. Maubon, On the equidistribution of totally geodesic submanifolds in locally symmetric spaces and application to boundedness results for negative curves and exceptional divisors, http://arxiv.org/abs/1407.6561. Discrete subgroups of Lie groups, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Fuchsian groups and their generalizations (group-theoretic aspects)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Viehmann, E, Truncations of level 1 of elements in the loop group of a reductive group, Ann. Math., 179, 1009-1040, (2014) Linear algebraic groups over finite fields, Conjugacy classes for groups, Modular and Shimura varieties, Loop groups and related constructions, group-theoretic treatment, Witt vectors and related rings
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Helminck, G.F.; Helminck, A.G., Hilbert flag varieties and their Kähler structure, J. phys. A: math. gen., 35, 8531, (2002) Loop groups and related constructions, group-theoretic treatment, Lattices of continuous, differentiable or analytic functions, Groups acting on specific manifolds, Grassmannians, Schubert varieties, flag manifolds, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds, Infinite-dimensional Lie groups and their Lie algebras: general properties
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Homological methods in Lie (super)algebras, Grassmannians, Schubert varieties, flag manifolds, Software, source code, etc. for problems pertaining to nonassociative rings and algebras, Computational methods for problems pertaining to nonassociative rings and algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
| 0
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Discrete subgroups of Lie groups, Compactifications; symmetric and spherical varieties, Fundamental groups and their automorphisms (group-theoretic aspects), Linear algebraic groups over global fields and their integers, Homogeneous spaces
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) de Rham cohomology and algebraic geometry, Representation theory for linear algebraic groups, Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Linear algebraic groups over local fields and their integers, Linear algebraic groups over global fields and their integers, Classical groups (algebro-geometric aspects)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Galactic and stellar structure, Black holes, Relativistic gravitational theories other than Einstein's, including asymmetric field theories, Determinants and determinant bundles, analytic torsion, Yang-Mills and other gauge theories in mechanics of particles and systems, Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Group actions on varieties or schemes (quotients), Abelian varieties of dimension \(> 1\), Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Linear algebraic groups over arbitrary fields, Subgroup theorems; subgroup growth, Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Linear algebraic groups over local fields and their integers, Maximal subgroups, Groups with a \(BN\)-pair; buildings, Structure theory for linear algebraic groups, Local ground fields in algebraic geometry, Group schemes
| 0
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) P. Kowalski and A. Pillay, Pro-algebraic and differential algebraic group structures on affine spaces, American Journal of Mathematics, 1222 (2000), 213-221. CMP 2000:07 Affine algebraic groups, hyperalgebra constructions, Differential algebra, Group varieties, Linear algebraic groups over arbitrary fields
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Gruson, C.; Leidwanger, S.: Cônes nilpotents des super algèbres de Lie orthosymplectiques, Ann. math. Blaise Pascal 17, No. 2, 303-326 (2010) Coadjoint orbits; nilpotent varieties, Lie algebras of linear algebraic groups, Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) A. Di Bartolo, G. Falcone, P. Plaumann, and K. Strambach, \textit{Algebraic Groups and Lie Groups with Few Factors}, Lect. Notes Math., \textbf{1944}, Springer-Verlag, Berlin (2008). Linear algebraic groups over arbitrary fields, General properties and structure of complex Lie groups, General properties and structure of real Lie groups, Research exposition (monographs, survey articles) pertaining to group theory, Research exposition (monographs, survey articles) pertaining to topological groups, Affine algebraic groups, hyperalgebra constructions, Lie algebras of linear algebraic groups, Chains and lattices of subgroups, subnormal subgroups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Manning, J.: Actions of certain arithmetic groups on Gromov hyperbolic spaces. Algebraic Geom. Topol. 8, 1371-1402 (2008) Rigidity results, Groups acting on trees, Geometric group theory, Discrete subgroups of Lie groups, Group actions on varieties or schemes (quotients)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) \beginbbook \bauthor\binitsT. \bsnmHarima, \bauthor\binitsT. \bsnmMaeno, \bauthor\binitsH. \bsnmMorita, \bauthor\binitsY. \bsnmNumata, \bauthor\binitsA. \bsnmWachi and \bauthor\binitsJ. \bsnmWatanabe, \bbtitleThe Lefschetz properties, \bsertitleLecture Notes in Mathematics, vol. \bseriesno2080, \bpublisherSpringer-Verlag, \blocationHeidelberg, \byear2013. \endbbook \OrigBibText T. Harima, T. Maeno, H. Morita, Y. Numata, A. Wachi, and J. Watanabe The Lefschetz Properties, Springer Lecture Notes 2080, Springer-Verlag, 2013. \endOrigBibText \bptokstructpyb \endbibitem Research exposition (monographs, survey articles) pertaining to commutative algebra, Graded rings, Actions of groups on commutative rings; invariant theory, Combinatorics of partially ordered sets, Algebraic aspects of posets, Grassmannians, Schubert varieties, flag manifolds, (Co)homology theory in algebraic geometry, Complete intersections, Group actions on varieties or schemes (quotients), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Karpenko, Nikita A.; Merkurjev, Alexander S., Canonical \(p\)-dimension of algebraic groups, Adv. Math., 0001-8708, 205, 2, 410-433, (2006) Affine algebraic groups, hyperalgebra constructions, Classical groups, Galois cohomology of linear algebraic groups, Linear algebraic groups over arbitrary fields, Algebraic cycles
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Haines, T.: Structure constants for Hecke and representation rings. Int. Math. Res. Not. 39, 2103--2119 (2003) math.RT/0304176 Representations of Lie and linear algebraic groups over local fields, Linear algebraic groups over local fields and their integers, Group schemes
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Mitsuhiro Takeuchi, Hopf algebra techniques applied to the quantum group \?_{\?}(\?\?(2)), Deformation theory and quantum groups with applications to mathematical physics (Amherst, MA, 1990) Contemp. Math., vol. 134, Amer. Math. Soc., Providence, RI, 1992, pp. 309 -- 323. Quantum groups (quantized enveloping algebras) and related deformations, Affine algebraic groups, hyperalgebra constructions, Twisted and skew group rings, crossed products
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Sauter., J., Isomorphisms among monodromy groups and applications to lattices in \({{\mathrm PU}(1,2)}\), Pacific J. Math.,, 146, 331-384, (1990) Discrete subgroups of Lie groups, Structure of modular groups and generalizations; arithmetic groups, Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects), Structure of families (Picard-Lefschetz, monodromy, etc.), Connections of hypergeometric functions with groups and algebras, and related topics, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Fuchsian groups and their generalizations (group-theoretic aspects)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) J.J. Millson. Deformations of Representations of finitely Generated Groups. Contemp. Math.74, 237-253 (1988) Discrete subgroups of Lie groups, Groups acting on specific manifolds, Group actions on varieties or schemes (quotients), Linear algebraic groups over the reals, the complexes, the quaternions, Deformations of general structures on manifolds, General geometric structures on manifolds (almost complex, almost product structures, etc.), Global differential geometry of Hermitian and Kählerian manifolds, Connections (general theory)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) DOI: 10.2307/2160964 Discrete subgroups of Lie groups, Algebraic moduli of abelian varieties, classification, Automorphic forms, one variable
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Bezrukavnikov, R., \textit{perverse sheaves on affine flags and nilpotent cone of the Langlands dual group}, Israel J. Math., 170, 185-206, (2009) Geometric Langlands program (algebro-geometric aspects), Group actions on varieties or schemes (quotients), Grassmannians, Schubert varieties, flag manifolds, Coadjoint orbits; nilpotent varieties, Linear algebraic groups over local fields and their integers
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) W. Soergel, Andersen filtration and hard Lefschetz. \textit{Geom. Funct. Anal. }17 (2008), 2066--2089. Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Infinitesimal methods in algebraic geometry, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Intersection homology and cohomology in algebraic topology, Equivariant homology and cohomology in algebraic topology, Module categories in associative algebras, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Special properties of functors (faithful, full, etc.)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Universal enveloping algebras of Lie algebras, Homological methods in Lie (super)algebras, Reflection and Coxeter groups (group-theoretic aspects), Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Universal enveloping (super)algebras
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) L. Lapointe and J. Morse. ''A k-tableau characterization of k-Schur functions''. Adv. Math. 213(2007), pp. 183--204.DOI. Symmetric functions and generalizations, Combinatorial aspects of representation theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Infinite-dimensional Lie (super)algebras
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Sheaves of differential operators and their modules, \(D\)-modules, Quantum groups (quantized enveloping algebras) and related deformations, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Duality theorems for analytic spaces
| 0
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) I. Dolgachev, \textit{Integral quadratic forms: applications to algebraic geometry (after V. Nikulin)}, \textit{Séminaire Bourbaki}\textbf{25} (1982) 251. Quadratic forms over global rings and fields, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Discrete subgroups of Lie groups, Classical groups, Singularities of surfaces or higher-dimensional varieties, Singularities in algebraic geometry, Other geometric groups, including crystallographic groups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Modular and Shimura varieties, Linear algebraic groups over local fields and their integers
| 0
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Gil Alon and Ehud de Shalit, On the cohomology of Drinfel\(^{\prime}\)d's \?-adic symmetric domain, Israel J. Math. 129 (2002), 1 -- 20. \(p\)-adic cohomology, crystalline cohomology, Groups with a \(BN\)-pair; buildings, Linear algebraic groups over local fields and their integers, Representations of Lie and linear algebraic groups over local fields
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Discrete version of topics in analysis, Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies, Affine algebraic groups, hyperalgebra constructions, Elliptic functions and integrals
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Rational and unirational varieties, Group varieties, Linear algebraic groups over arbitrary fields, Linear algebraic groups over local fields and their integers
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Fioresi, R.; Lledó, M. A., On algebraic supergroups, coadjoint orbits, and their deformations, Comm. Math. Phys., 245, 1, 177-200, (2004) Quantum groups (quantized enveloping algebras) and related deformations, Affine algebraic groups, hyperalgebra constructions, Supervarieties, ``Super'' (or ``skew'') structure, Deformation quantization, star products, Supermanifolds and graded manifolds
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Shestakov, I; Tsurkov, A, Automorphic equivalence of the representations of Lie algebras, Algebra Discret. Math., 15, 96-126, (2013) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Special varieties
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Affine algebraic groups, hyperalgebra constructions, Formal groups, \(p\)-divisible groups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Galois cohomology, Étale and other Grothendieck topologies and (co)homologies, Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Sheaves and cohomology of sections of holomorphic vector bundles, general results, Determinants and determinant bundles, analytic torsion, Riemann-Roch theorems, Infinite-dimensional Lie (super)algebras, Index theory and related fixed-point theorems on manifolds, Sheaves of differential operators and their modules, \(D\)-modules
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Deligne, P.; Mostow, G. D., Monodromy of hypergeometric functions and nonlattice integral monodromy, Inst. Hautes Études Sci. Publ. Math., 63, 5-89, (1986) Discrete subgroups of Lie groups, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Connections of hypergeometric functions with groups and algebras, and related topics, Structure of families (Picard-Lefschetz, monodromy, etc.), Structure of modular groups and generalizations; arithmetic groups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Modular and Shimura varieties, Linear algebraic groups over local fields and their integers, Arithmetic aspects of modular and Shimura varieties
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Spera, M., Wurzbacher, T.: Differential geometry of Grassmannian embeddings of based loop groups. Diff. Geom. Appl. 13(1), 43--75 (2000) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds, Global submanifolds, Infinite-dimensional Lie groups and their Lie algebras: general properties, Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Differential geometry of symmetric spaces, Grassmannians, Schubert varieties, flag manifolds, Loop groups and related constructions, group-theoretic treatment
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Brundan, J, Modular representations of the supergroup \(Q\)(\(n\)). II, Pac. J. Math., 224, 65-90, (2006) Representation theory for linear algebraic groups, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Cohomology theory for linear algebraic groups, Group varieties
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Fourier, G, Marked poset polytopes: Minkowski sums, indecomposables, and uni-modular equivalence, J. Pure Appl. Algebra, 220, 606-620, (2016) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Toric varieties, Newton polyhedra, Okounkov bodies, Combinatorics of partially ordered sets, Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Linear algebraic groups over local fields and their integers, Galois cohomology of linear algebraic groups, Abelian varieties of dimension \(> 1\), Group actions on varieties or schemes (quotients)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Montagard, P-L; Pasquier, B; Ressayre, N, Two generalisations of the PRV conjecture, Compositio Math., 147, 1321-1336, (2011) Semisimple Lie groups and their representations, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Geometric invariant theory
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Beĭlinson, A. A.; Schechtman, V. V., Determinant bundles and Virasoro algebras, Comm. Math. Phys., 118, 4, 651-701, (1988) Infinite-dimensional Lie (super)algebras, Families, moduli of curves (algebraic), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Kostant, Bertram; Kumar, Shrawan, The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\), Proc. Nat. Acad. Sci. U.S.A., 83, 6, 1543-1545, (1986) Cohomology of Lie (super)algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Grassmannians, Schubert varieties, flag manifolds, Homology and cohomology of homogeneous spaces of Lie groups, Loop groups and related constructions, group-theoretic treatment
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