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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 theory for linear algebraic groups, Affine algebraic groups, hyperalgebra constructions, Hopf algebras and their applications, Abelian categories, Grothendieck categories, Cohomology of 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) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), Analytic theory of abelian varieties; abelian integrals and differentials, Ergodic theory on groups, Discrete subgroups of Lie groups, Period matrices, variation of Hodge structure; degenerations, 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, 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) Parametrization (Chow and Hilbert schemes), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), 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) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), 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) Quantum groups (quantized enveloping algebras) and related deformations, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Lie bialgebras; Lie coalgebras, Quantum groups (quantized function algebras) and their representations
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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) Sh_UMN_2015 Sheinman, O.K. \emph Lax operator algebras and integrable systems. Russian Math. Surveys, 71:1 (2016), 109--156. Infinite-dimensional Lie (super)algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Riemann surfaces; Weierstrass points; gap sequences, Applications of Lie algebras and superalgebras to integrable systems, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions
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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) Orlik S.: Equivariant vector bundles on Drinfeld's upper half space. Invent. Math. 172, 585--656 (2008) Representations of Lie and linear algebraic groups over local fields, Rigid analytic geometry, \(p\)-adic theory, local 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) Gopal Prasad and Sai-Kee Yeung, \textit{Fake projective planes}, Invent. Math. 168 (2007), no. 2, 321--370. Surfaces of general type, Class numbers, class groups, discriminants, Discrete subgroups 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) Görtz, U.; He, X., Dimensions of Deligne-Lusztig varieties in affine flag varieties, Doc. Math., 15, 1009-1028, (2010) Representation theory for linear algebraic groups, Grassmannians, Schubert varieties, flag manifolds, Linear algebraic groups over finite fields, Reflection and Coxeter groups (group-theoretic aspects), Group actions on varieties or schemes (quotients), 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) Strauch, M.: Deformation spaces of one-dimensional formal modules and their cohomology. Adv. Math. \textbf{217}(3), 889-951 (2008) Representations of Lie and linear algebraic groups over local fields, Linear algebraic groups over local fields and their integers, Modular and Shimura varieties, Representation-theoretic methods; automorphic representations over local and global 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) Bressler P., Kapranov M., Tsygan B., Vasserot É. , Riemann-Roch for real varieties, in preparation. arXiv Riemann-Roch theorems, Differential geometric aspects of gerbes and differential characters, Real algebraic sets, Characteristic classes and numbers in differential topology, Determinants and determinant bundles, analytic torsion, Infinite-dimensional Lie (super)algebras, Riemann-Roch theorems, Chern characters
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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) E. Backelin, K. Kremnitzer, Quantum flag varieties, equivariant quantum D-modules, and localization of quantum groups, to appear, math.QA/0401108. Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, 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) Discrete subgroups of Lie groups, Semisimple Lie groups and their representations, Modular and Shimura varieties, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic 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) Liu, K.: On modular invariance and rigidity theorems. J. Diff. Geom. 41(2), 343--396 (1995) Compact Lie groups of differentiable transformations, Theta series; Weil representation; theta correspondences, Index theory and related fixed-point theorems on manifolds, Loop groups and related constructions, group-theoretic treatment, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Quantum field theory on curved space or space-time backgrounds, Modular and automorphic functions
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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) Dimitrov, I., Penkov, I.: Ind-varieties of generalized flags as homogeneous spaces for classical ind-groups. IMRN, pp. 2935-2953 (2004) Infinite-dimensional Lie groups and their Lie algebras: general properties, Infinite-dimensional Lie (super)algebras, 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) Kōta Yoshioka, An action of a Lie algebra on the homology groups of moduli spaces of stable sheaves, Algebraic and arithmetic structures of moduli spaces (Sapporo 2007), Adv. Stud. Pure Math., vol. 58, Math. Soc. Japan, Tokyo, 2010, pp. 403 -- 459. Algebraic moduli problems, moduli of vector bundles, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, 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) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Representation theory for linear algebraic groups, Cohomology theory for linear algebraic groups, Semisimple Lie groups and their representations
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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) Fibrations, degenerations in algebraic geometry, Algebraic moduli problems, moduli of vector bundles, Groups with a \(BN\)-pair; buildings, Linear algebraic groups over local fields and their integers, Polytopes and polyhedra, 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) [KaSU] Katsura, T., Shimizu, Y., Ueno, K.: New Bosonization and Conformal Field Theory over Z. Commun. Math. Phys.121, 603--627 (1989) Families, moduli of curves (algebraic), Quantum field theory; related classical field theories, 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) Research exposition (monographs, survey articles) pertaining to differential geometry, Research exposition (monographs, survey articles) pertaining to topological groups, Research exposition (monographs, survey articles) pertaining to algebraic topology, Differential geometry of symmetric spaces, Local differential geometry of Hermitian and Kählerian structures, Global differential geometry of Hermitian and Kählerian manifolds, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Special surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Homogeneous spaces, Fiber spaces in algebraic topology, Discrete subgroups 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) Geometric invariant theory, Divisors, linear systems, invertible sheaves, 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) Rossmann W.: Picard-Lefschetz theory and characters of a semisimple Lie group. Invent. Math. 121, 579--611 (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) Quantum groups (quantized enveloping algebras) and related deformations, 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) B. Poizat, \textit{Stable groups}, Mathematical Surveys and Monographs, Vol. 87, American Mathematical Society, Providence, RI, 2001, Translated from the 1987 French original by Moses Gabriel Klein. Classification theory, stability, and related concepts in model theory, Model-theoretic algebra, Affine algebraic groups, hyperalgebra constructions, Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations
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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) Noncommutative algebraic geometry, Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product), General theory of \(C^*\)-algebras, Loop groups and related constructions, group-theoretic treatment, Topology of vector bundles and fiber 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) Arithmetic aspects of modular and Shimura varieties, Modular and Shimura 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) Raicu, C., Weyman, J.: The syzygies of some thickenings of determinantal varieties. arXiv:1411.0151v1 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) Linear algebraic groups over local fields and their integers, Rational and unirational varieties, Group varieties, Rational points, Local ground fields 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) Homotopy theory and fundamental groups in algebraic geometry, Residual properties and generalizations; residually finite groups, Discrete subgroups 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) Formal groups, \(p\)-divisible groups, Group schemes, Representation theory of associative rings and algebras, Hopf algebras and their applications, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Groupoids, semigroupoids, semigroups, groups (viewed as categories), Grothendieck groups (category-theoretic aspects), Representation theory of 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) Homological methods in Lie (super)algebras, Cohomology of Lie (super)algebras, Infinite-dimensional Lie (super)algebras, Lie algebras of vector fields and related (super) algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Virasoro and related algebras, Families, moduli of curves (algebraic), Elliptic curves
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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) Collections of abstracts of lectures, Proceedings of conferences of miscellaneous specific interest, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Universal enveloping (super)algebras, Representation theory for linear algebraic groups, Grassmannians, Schubert varieties, flag manifolds, Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Symmetric functions and generalizations, Proceedings, conferences, collections, etc. pertaining to nonassociative rings and algebras, Proceedings, conferences, collections, etc. 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) Linear algebraic groups over local fields and their integers, Varieties over finite and local fields, Formal groups, \(p\)-divisible groups, Reflection and Coxeter groups (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) Parshall B., Quart. J. Math. Oxford 2 pp 345-- (1995) Representation theory for linear algebraic groups, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Graded rings and modules (associative rings and algebras), Homological dimension in associative algebras, 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) Sartori, A.: A diagram algebra for Soergel modules corresponding to smooth Schubert varieties. Trans. Amer. Math. Soc. (2013). 10.1090/tran/6346 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Symmetric functions and generalizations, Polynomial rings and ideals; rings of integer-valued polynomials, Grassmannians, Schubert varieties, flag manifolds, Graded rings and modules (associative rings and 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) Shigeyuki Kondō, The moduli space of curves of genus 4 and Deligne-Mostow's complex reflection groups, Algebraic geometry 2000, Azumino (Hotaka), Adv. Stud. Pure Math., vol. 36, Math. Soc. Japan, Tokyo, 2002, pp. 383 -- 400. Families, moduli of curves (analytic), \(K3\) surfaces and Enriques surfaces, Discrete subgroups of Lie groups, Connections of hypergeometric functions with groups and algebras, and related topics, Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects), Special algebraic curves and curves of low genus
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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) Bremigan R.J.: Quotients for algebraic group actions over non-algebraically closed fields. J. Reine Angew. Math. 453, 21--47 (1994) Group actions on varieties or schemes (quotients), Other nonalgebraically closed ground fields in algebraic geometry, Homogeneous spaces and generalizations, Linear algebraic groups over the reals, the complexes, the quaternions, 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) Savage, A; Tingley, P, Quiver Grassmannians, quiver varieties and the preprojective algebra, Pacific J. Math., 251, 393-429, (2011) Representations of quivers and partially ordered sets, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds, Group actions on affine varieties, 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) A. A. Beilinson ''Localization of Representations of Reductive Lie Algebras,'' in Proc. IMC (Warsaw, 1983) (PWN, Warsaw, 1984), pp. 699--710. Representation theory for linear algebraic groups, Simple, semisimple, reductive (super)algebras, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Classical groups (algebro-geometric aspects), 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) Lusztig, G., Classification of unipotent representations of simple \textit{p}-adic groups, Int. Math. Res. Not. (IMRN), 11, 517-589, (1995) Representation theory for linear algebraic groups, Linear algebraic groups over finite fields, Linear algebraic groups over local fields and their integers, Simple, semisimple, reductive (super)algebras, Lie algebras of linear algebraic groups, Group schemes, 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) Ronan, M.A., Smith, S.D.: Sheaves on buildings and modular representations of Chevalley groups. J. Algebra 96, 319--346 (1985) Representation theory for linear algebraic groups, Linear algebraic groups over arbitrary fields, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Cohomology theory for linear algebraic groups, Simplicial sets and complexes in algebraic topology
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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, N, \textit{canonical dimension of} (\textit{semi}-)\textit{spinor groups of small ranks}, Pure Appl. Math. Q., 4, 1033-1039, (2008) Affine algebraic groups, hyperalgebra constructions, 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) Varieties over finite and local fields, Étale and other Grothendieck topologies and (co)homologies, 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) Group varieties, Group schemes, Affine algebraic groups, hyperalgebra constructions, 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) Enright, T.J., Hunziker, M.: Resolutions and Hilbert series of the unitary highest weight modules of the exceptional groups. Representat. Theory 8, 15--51 (2004) (electronic). MR MR2048586 (2004m:17007) Semisimple Lie groups and their representations, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Determinantal varieties, Syzygies, resolutions, complexes and commutative 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) Kamnitzer, J., \textit{the crystal structure on the set of mirković-vilonen polytopes}, Adv. Math., 215, 66-93, (2007) Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Quantum groups (quantized enveloping algebras) and related deformations, Representation theory for linear algebraic groups, Classical groups (algebro-geometric aspects), Cohomology 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) B. H. Gross, ''On the motive of \(G\) and the principal homomorphism \({ SL}_2\to\widehat G\),'' Asian J. Math., vol. 1, iss. 1, pp. 208-213, 1997. Linear algebraic groups over local fields and their integers, Langlands-Weil conjectures, nonabelian class field theory, Representations of Lie and linear algebraic groups over local fields, Linear algebraic groups over arbitrary fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Generalizations (algebraic spaces, stacks)
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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) Stroppel, C., Parabolic category \(\mathcal{O}\), perverse sheaves on Grassmannians, Springer fibres and Khovanov homology, Compos. Math., 145, 4, 954-992, (2009) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds, Representations of finite symmetric groups, Representation theory for linear algebraic groups, 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) Representation theory for linear algebraic groups, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Homogeneous spaces and generalizations, 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) Ю. Г. Зархин, ``Веса простых алгебр Ли в когомологиях алгебраических многообразий'', Изв. АН СССР. Сер. матем., 48:2 (1984), 264 -- 304 \(p\)-adic cohomology, crystalline cohomology, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Simple, semisimple, reductive (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) Couwenberg, W.; Heckman, G.; Looijenga, E., Geometric structures on the complement of a projective arrangement, Publ. math. inst. hautes études sci., 101, 69-161, (2005) Moduli, classification: analytic theory; relations with modular forms, Configurations and arrangements of linear subspaces, Discrete subgroups of Lie groups, Connections of hypergeometric functions with groups and algebras, and related topics, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Automorphic forms in several complex variables
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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) , Parabolic sheaves on surfaces and affine Lie algebra gln, J. Reine Angew. Math., 529 (2000), 155-203. Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, 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) Mierendorff, E.: On affine Deligne--Lusztig varieties for GL n . Dissertation, Bonn (2005) http://www.hss.ulb.uni-bonn.de/diss\_online/math\_nat\_fak/2005/mierendorff\_eva/ Formal groups, \(p\)-divisible groups, \(p\)-adic cohomology, crystalline cohomology, Linear algebraic groups over local fields and their integers, Modular and Shimura varieties, 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) Kottwitz, R.E.: On the Hodge-Newton decomposition for split groups. Int. Math. Res. Not. 26, 1433--1447 (2003) \(p\)-adic cohomology, crystalline cohomology, Representations of Lie and linear algebraic groups over local 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) Difference algebra, Hopf algebras and their applications, Group schemes, 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) Elmar Grosse-Klönne, Sheaves of bounded \?-adic logarithmic differential forms, Ann. Sci. École Norm. Sup. (4) 40 (2007), no. 3, 351 -- 386 (English, with English and French summaries). \(p\)-adic cohomology, crystalline cohomology, Rigid analytic geometry, \(p\)-adic theory, local 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) M. Kitagawa, Stability of branching laws for highest weight modules, arXiv: Representation theory for linear algebraic groups, Classical groups (algebro-geometric aspects), Compactifications; symmetric and spherical varieties, Homogeneous spaces and generalizations, 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) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Determinants, permanents, traces, other special matrix functions, Probability distributions: general theory, Grassmannians, Schubert varieties, flag manifolds, Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.), Measures of association (correlation, canonical correlation, etc.), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Combinatorial aspects of tropical 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) D. Cartwright and T. Steger, Enumeration of the 50 fake projective planes, C. R. Math. Acad. Sci. Paris 348 (2010), no. 1-2, 11-13. Surfaces of general type, Class numbers, class groups, discriminants, Discrete subgroups 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) Boysal, A., Pauly, C.: Strange duality for Verlinde spaces of exceptional groups at level one. Int. Math. Res. Not. (2009). 10.1093/imrn/rnp151 Stacks and moduli problems, Vector bundles on curves and their moduli, Holomorphic bundles and generalizations, Exceptional groups, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), 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) Grassmannians, Schubert varieties, flag manifolds, Loop groups and related constructions, group-theoretic treatment, Families, moduli of curves (algebraic)
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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) Putcha, M. S., \textit{Linear Algebraic Monoids}, Vol. 133 of \textit{London Mathematical Society Lecture Note Series}, (1988), Cambridge University Press, Cambridge Semigroups of transformations, relations, partitions, etc., Research exposition (monographs, survey articles) pertaining to group theory, Linear algebraic groups over arbitrary fields, General structure theory for semigroups, 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) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups, Adèle rings and groups, Linear algebraic groups over local fields and their integers, Theta functions and abelian 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) Bruhat, F.; Tits, J., Groupes réductifs sur un corps local, Chap. III: Compléments et applications à la cohomologie galoisienne, J. Fac. Sci., Univ. Tokyo, 34, 671-688, (1987) Linear algebraic groups over local fields and their integers, Cohomology theory for linear algebraic groups, 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) Formal groups, \(p\)-divisible groups, Grassmannians, Schubert varieties, flag manifolds, 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) D. Gaitsgory and D. Nadler, Hecke operators on quasimaps into horospherical varieties, Documenta Mathematica 14 (2009), 19--46. Loop groups and related constructions, group-theoretic treatment, 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) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Semisimple Lie groups and their representations, 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) Nazih Nahlus, On L=[L,a]+[L,b] and x=[a,b] in split simple Lie algebras, to be written, title tentative. 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) Görtz, U.; Haines, T. J.; Kottwitz, R. E.; Reuman, D. C., Dimension of certain affine Deligne-Lusztig varieties, Ann. Sci. Ecole Norm. Sup. (4), 39, 467-511, (2006) Group actions on varieties or schemes (quotients), Grassmannians, Schubert varieties, flag manifolds, Linear algebraic groups over local fields and their integers, Modular and Shimura varieties, 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) Schlichenmaier, M, \(N\)-point Virasoro algebras are multipoint krichever-Novikov-type algebras, Commun. Algebra, 45, 776-821, (2017) Infinite-dimensional Lie (super)algebras, Riemann surfaces; Weierstrass points; gap sequences, Cohomology of Lie (super)algebras, Lie algebras of vector fields and related (super) algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Virasoro and related algebras, Differentials on Riemann surfaces, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
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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: 10.1016/j.aim.2011.10.003 Parametrization (Chow and Hilbert schemes), Vertex operators; vertex operator algebras and related structures, 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) 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) DOI: 10.2140/pjm.2002.203.321 Structure of general topological groups, Associated Lie structures for groups, Group varieties, Quasivarieties and varieties of groups, Infinite-dimensional Lie (super)algebras, Lie algebras of Lie groups, Limits, profinite groups, Infinite-dimensional Lie groups and their Lie algebras: general properties, Topological groups (topological 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) André, Y.: Différentielles non commutatives et Théorie de Galois différentielle ou aux différences. Ann. Scient. Ec. Norm. Sup., 4 serie, t. 34, pp. 685-739 (2001) 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) Licata, A., Savage, A.: A survey of Heisenberg categorification via graphical calculus. Bull. Inst. Math. Acad. Sin. (N.S.), \textbf{7}(2), 291-321 (2012). http://web.math.sinica.edu.tw/bulletin_ns/20122/2012203.pdf Hecke algebras and their representations, Infinite-dimensional Lie (super)algebras, Module categories in associative algebras, Deformations of associative 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) Generalizations (algebraic spaces, stacks), Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.), Homological algebra in category theory, derived categories and functors, 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) Representations of Lie and linear algebraic groups over local fields, Linear algebraic groups over local fields and their integers, Structure theory for linear algebraic groups, Group schemes, 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) Allcock, D; Carlson, JA; Toledo, D, Hyperbolic geometry and moduli of real cubic surfaces, Ann. Sci. Éc. Norm. Supér., 43, 69-115, (2010) Moduli, classification: analytic theory; relations with modular forms, Real algebraic and real-analytic geometry, Reflection and Coxeter groups (group-theoretic aspects), Discrete subgroups 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) Homotopy theory and fundamental groups in algebraic geometry, Positive characteristic ground fields in algebraic geometry, Group schemes, 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) Poizat, B. P.: Équations génériques. Proc. of the 8th easter conference on model theory (1990) Model-theoretic algebra, Applications of logic to group theory, Classification theory, stability, and related concepts in model theory, Nilpotent groups, Affine algebraic groups, hyperalgebra constructions, Solvable groups, supersolvable 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) Singh, Sandip, Arithmeticity of four hypergeometric monodromy groups associated to {C}alabi--{Y}au threefolds, International Mathematics Research Notices. IMRN, 2015, 18, 8874-8889, (2015) Discrete subgroups of Lie groups, 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) R. Friedman, J. W. Morgan, Automorphism sheaves, spectral covers, and the Kostant and Steinberg sections, in: Vector Bundles and Representation Theory (Columbia, MO, 2002), Contemp. Math., Vol. 322, Amer. Math. Soc., Providence, RI, 2003, pp. 217--244. Vector bundles on curves and their moduli, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Elliptic curves, 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) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras, Research exposition (monographs, survey articles) pertaining to combinatorics, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Combinatorial aspects of representation theory, Foundations of tropical geometry and relations with algebra, Combinatorial aspects of tropical 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) Infinite-dimensional Lie (super)algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Applications of Lie algebras and superalgebras to integrable systems, Algebraic moduli problems, moduli of vector bundles, Riemann surfaces; Weierstrass points; gap sequences, Vector bundles on curves and their moduli, Relationships between algebraic curves and integrable systems, Differentials on Riemann surfaces, 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) Analysis on \(p\)-adic Lie groups, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, Applications of Lie groups to the sciences; explicit representations, Miscellaneous applications of number theory, Compact groups, Discrete subgroups of Lie groups, Arithmetic ground fields for curves, Compact Riemann surfaces and uniformization
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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) Goresky, M; Harder, G; MacPherson, R; Nair, A, Local intersection cohomology of baily-Borel compactifications, Compos. Math., 134, 243-268, (2002) Cohomology of arithmetic groups, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Discrete subgroups of Lie groups, Stratifications; constructible sheaves; intersection cohomology (complex-analytic 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) Discrete subgroups of Lie groups, Hyperbolic and Kobayashi hyperbolic manifolds, Differential geometry of symmetric spaces, Chains and lattices of subgroups, subnormal subgroups, 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) V. Ginzburg, ''Harish-Chandra bimodules for quantized Slodowy slices,'' Represent. Theory, vol. 13, pp. 236-271, 2009. Coadjoint orbits; nilpotent varieties, Noncommutative algebraic geometry, 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) Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Affine algebraic groups, hyperalgebra constructions, Lie algebras of linear algebraic groups, Proceedings of conferences of miscellaneous specific interest
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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) Other geometric groups, including crystallographic groups, Representation theory for linear algebraic groups, Combinatorial aspects of representation theory, Hecke algebras and their representations, Representations of finite symmetric groups, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds, Modular representations and characters, Reflection and Coxeter groups (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) Linear algebraic groups over local fields and their integers, 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) Towber, J.: Two new functors from modules to algebras. J. Alg.47, 80--104 (1977) Vector and tensor algebra, theory of invariants, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Representations of finite symmetric groups, Theory of modules and ideals in commutative rings, Grassmannians, Schubert varieties, flag 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) Biswas, I., Semistability of invariant bundles over \(G / \operatorname{\Gamma}\), II, C. R. Acad. Sci. Paris, Ser. I, 350, 277-280, (2012) Geometric invariant theory, 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) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Research exposition (monographs, survey articles) pertaining to topological groups, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, 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) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Group actions on varieties or schemes (quotients), 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) Rinat Kedem, Fusion products of \?\?_{\?} symmetric power representations and Kostka polynomials, Quantum theory and symmetries, World Sci. Publ., Hackensack, NJ, 2004, pp. 88 -- 93. Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds, Symmetric functions 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) Representations of Lie and linear algebraic groups over local fields, Group actions on varieties or schemes (quotients), 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) Varieties over finite and local fields, \(K3\) surfaces and Enriques surfaces, Linear algebraic groups over local fields and their integers, Étale and other Grothendieck topologies and (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) Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to associative rings and algebras, Proceedings, conferences, collections, etc. pertaining to nonassociative rings and algebras, Proceedings, conferences, collections, etc. pertaining to group theory, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to several complex variables and analytic spaces, Representation type (finite, tame, wild, etc.) of associative algebras, Hopf algebras and their applications, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Modular Lie (super)algebras, Representation theory for linear algebraic groups, Cohomology theory for linear algebraic groups, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Group schemes, 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) Ginzburg, V.: Non-commutative symplectic geometry, quiver varieties, and operads. Math. Res. Lett. \textbf{8}, 377-400 (2001). arXiv:math/0005165 Infinite-dimensional Lie (super)algebras, Loop space machines and operads in algebraic topology, Generalizations (algebraic spaces, stacks)
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