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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) Springer, T. A., Linear Algebraic Groups, pp., (2009), Birkhäuser Boston Inc., Boston, MA Linear algebraic groups over arbitrary fields, Group varieties, Research exposition (monographs, survey articles) pertaining to group theory, Linear algebraic groups and related topics, Affine algebraic groups, hyperalgebra constructions, Lie algebras of linear algebraic groups, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Classical groups (algebro-geometric aspects), Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras, 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), Virasoro and related algebras, Deformation quantization, star products, 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) Class numbers of quadratic and Hermitian forms, \(p\)-adic theory, Group schemes, Linear algebraic groups over local fields and their integers, Bilinear and Hermitian forms, Classical 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) Klimek, J.; Kraskiewicz, W.; Shimozono, M.; Weyman, J.: On the Grothendieck group of modules supported in a nilpotent orbit in the Lie algebra \(gl(n)\). J. pure appl. Algebra 153, 237-261 (2000) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Representation theory for linear algebraic groups, Grothendieck groups, \(K\)-theory and commutative rings, Determinantal varieties, Classical real and complex (co)homology in algebraic 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) Serganova V., Skorobogatov A.: Del Pezzo surfaces and representation theory. Algebra Number Theory 1, 393--419 (2007) Rational and ruled surfaces, Exceptional (super)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) 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) Discrete subgroups of Lie groups, Birational automorphisms, Cremona group and generalizations, Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets, Groups acting on specific 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) Baumann, P.; Gaussent, S., On mirković-vilonen cycles and crystal combinatorics, Represent. Theory, 12, 83-130, (2008) Linear algebraic groups over the reals, the complexes, the quaternions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds, Quantum groups (quantized enveloping algebras) and related deformations
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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, 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) Jacobian problem, Affine algebraic groups, hyperalgebra constructions, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem)
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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, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to topological groups, Local ground fields in algebraic geometry, Rigid analytic geometry, Hopf algebras and their applications, Cohomology of Lie (super)algebras, Linear algebraic groups over local fields and their integers, Continuous cohomology of Lie groups, Homology and cohomology 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) Atomic physics, Electromagnetic interaction; quantum electrodynamics, Geometry and quantization, symplectic methods, Geometric quantization, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics, Coadjoint orbits; nilpotent varieties, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field 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) P.~H. Hai, \emph{Gauss-{M}anin stratification and stratified fundamental group schemes}, Ann. Inst. Fourier (Grenoble) \textbf{63} (2013), no.~6, 2267--2285. DOI 10.5802/aif.2829; zbl 1298.14022; MR3237447 Homotopy theory and fundamental groups in algebraic geometry, 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) 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) Yu. G. Zarhin, Abelian varieties of Lie algebras , Mathematics and Modelling, Research Computing Center of the USSR Academy of Sciences, Pushchino, 1990, English translation will appear in Selecta Math. Soviet, pp. 57-99. Arithmetic ground fields for abelian 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) Étale and other Grothendieck topologies and (co)homologies, 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) Effectivity, complexity and computational aspects of algebraic geometry, Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain, 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) Anna Melnikov, On orbital variety closures in \?\?_{\?}. I. Induced Duflo order, J. Algebra 271 (2004), no. 1, 179 -- 233. Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Combinatorial aspects of representation theory, Classical groups (algebro-geometric aspects), 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) I. Dimitrov, M. Roth, \textit{Cup products of line bundles on homogeneous varieties and generalized PRV components of multiplicity one}, preprint (2009). Grassmannians, Schubert varieties, flag manifolds, Classical real and complex (co)homology in 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) Pauly, C., Espaces de modules de fibrés paraboliques et blocs conformes, Duke math. J., 84, 1, 217-236, (1996) Theta functions and abelian varieties, Families, moduli of curves (algebraic), Quantum field theory; related classical field theories, Infinite-dimensional Lie (super)algebras, Vector bundles on curves and their moduli
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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. Abe and J. F. Hurley, ''Centers of Chevalley Groups over Commutative Rings,'' Comm. in Algebra 16, 57--74 (1988). Linear algebraic groups over adèles and other rings and schemes, 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) A. Gyoja, Highest weight modules and \(b\)-functions of semi-invariants , Publ. Res. Inst. Math. Sci. 30 (1994), 353--400. Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Universal enveloping (super)algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Homogeneous spaces and generalizations, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, 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: 10.4310/MRL.2011.v18.n3.a10 Homological methods in Lie (super)algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Kac-Moody groups, Geometric Langlands program: representation-theoretic aspects, 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) Homogeneous flows, Counting solutions of Diophantine equations, Lattice points in specified regions, Homogeneous spaces and generalizations, Discrete subgroups of Lie groups, 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) Supersymmetric field theories in quantum mechanics, Questions of holomorphy and infinite-dimensional manifolds, Infinite-dimensional Lie (super)algebras, Vertex operators; vertex operator algebras and related structures, Quantization in field theory; cohomological methods, Elliptic functions and integrals, Applications of Lie (super)algebras to physics, etc., Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field 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) Jacobians, Prym varieties, Theta functions and curves; Schottky problem, Discrete subgroups of Lie groups, Differential geometry of symmetric spaces, Algebraic moduli of abelian varieties, classification, Global geometric and topological methods (à la Gromov); differential geometric analysis on metric 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) 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 category theory, Proceedings, conferences, collections, etc. pertaining to group theory, Proceedings of conferences of miscellaneous specific interest, Quantum groups (quantized enveloping algebras) and related deformations, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Hecke algebras and their representations, Modular Lie (super)algebras, Homological methods in Lie (super)algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Quantum groups and related algebraic methods applied to problems in quantum 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) Cline, E.: Simulating algebraic geometry with algebra III: The Lusztig conjecture as a TG1-problem. Proc. sympos. Pure math. 47, 149-161 (1987) Representation theory for linear algebraic groups, Cohomology 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) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Syzygies, resolutions, complexes in associative algebras, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Rings arising from noncommutative algebraic geometry, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Parametrization (Chow and Hilbert schemes), Grassmannians, Schubert varieties, flag manifolds, Holomorphic symplectic varieties, hyper-Kähler 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) Huebschmann, J., Equivariant cohomology over Lie groupoids and Lie-rinehart algebras, Lett. math. phys., 90, 201-251, (2009) Topological groupoids (including differentiable and Lie groupoids), Equivariant homology and cohomology in algebraic topology, Pseudogroups and differentiable groupoids, de Rham cohomology and algebraic geometry, Infinite-dimensional Lie (super)algebras, Lie algebras of vector fields and related (super) algebras, Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads, Resolutions; derived functors (category-theoretic aspects), 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) Dyer, M; Lusztig, G, Appendix to ``quantum groups at roots of 1{'', Geom Ded, 35, 112-113, (1990)} Representation theory for linear algebraic groups, Reflection and Coxeter groups (group-theoretic aspects), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Representation theory of associative rings and algebras, Conditions on elements, 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) Affine algebraic groups, hyperalgebra constructions, Birational automorphisms, Cremona group and generalizations, Automorphisms of 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) F. Berchtold and J. Hausen, Demushkin's theorem in codimension one, Math. Z. 244 (2003), 697-703. Toric varieties, Newton polyhedra, Okounkov bodies, Group actions on affine 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) Hasse principle, weak and strong approximation, Brauer-Manin obstruction, Arithmetic ground fields (finite, local, global) and families or fibrations, Local ground fields in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies, Group schemes, Curves over finite and local fields, Trees, 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) Modular and Shimura varieties, Arithmetic aspects of modular and Shimura varieties, 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) R. Charney and R. Lee, Cohomology of the Satake compactification, Topology 22 (1983), no. 4, 389-423. Automorphic functions in symmetric domains, Algebraic moduli of abelian varieties, classification, General binary quadratic forms, 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) Oblomkov, A., Yun, Z.: Geometric representations of graded and rational Cherednik algebras. Adv. Math. \textbf{292}, 601-607 (2016). arXiv:1407.5685 Hecke algebras and their representations, Classical groups (algebro-geometric aspects), 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) Evgeny Mukhin and Alexander Varchenko, Remarks on critical points of phase functions and norms of Bethe vectors, Arrangements --- Tokyo 1998, Adv. Stud. Pure Math., vol. 27, Kinokuniya, Tokyo, 2000, pp. 239 -- 246. Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation), Relationships between algebraic curves and physics
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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, Representation theory for linear algebraic groups, Affine algebraic groups, hyperalgebra constructions, Groups with a \(BN\)-pair; buildings, Structure theory for linear algebraic groups, Buildings and the geometry of diagrams
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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) O. Mathieu : Fibrés en droite sur les variétés de Schubert associées aux algèbres de Kac-Moody . Proceeding de ''Symposium on topological methods in field theory'' (Helsinki-Juin 1986) Scientific World. Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Homological methods in Lie (super)algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), 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) Spectral theory; trace formulas (e.g., that of Selberg), Representation theory for linear algebraic groups, \(p\)-adic cohomology, crystalline cohomology, 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) J. Dixmier, Alg\(\'e\)bres Enveloppantes, Cahiers Scientifiques, Fasc. XXXVII. Gauthier-Villars Éditeur, Paris-Brussels-Montreal, Que., 1974. Russian transl.: Ж. Diksm\ ~\ e, Universal\ ~\ nye ob_rtyva_wie algebry, Mir, M., 1978. Simple, semisimple, reductive (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) 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, Differentials on Riemann surfaces
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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) --. --. --. --., The geometry of fixed point varieties on affine flag manifolds , Trans. Amer. Math. Soc. 352 (2000), 2087--2119. JSTOR: 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) Modular and Shimura varieties, Linear algebraic groups over local fields and their integers, Grassmannians, Schubert varieties, flag manifolds, Formal groups, \(p\)-divisible groups, Groups with a \(BN\)-pair; buildings, 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) Determinants, permanents, traces, other special matrix functions, Research exposition (monographs, survey articles) pertaining to linear algebra, Affine algebraic groups, hyperalgebra constructions, Endomorphism rings; matrix 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) Infinite-dimensional Lie groups and their Lie algebras: general properties, Grassmannians, Schubert varieties, flag manifolds, Analysis on other specific Lie groups, 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) Gros, Michel; Kaneda, Masaharu, Contraction par Frobenius de \(G\)-modules, Ann. Inst. Fourier (Grenoble), 61, 6, 2507-2542 (2012), (2011) Grassmannians, Schubert varieties, flag manifolds, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Representation theory for linear algebraic groups, 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) Ordinary representations and characters, Computational methods for problems pertaining to group 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) Wolf, J.: Admissible representations and geometry of flag manifolds, In: Eastwood, M., Wolf J., Zierau R. (eds.), The Penrose transform and analytic cohomology in representation theory, Contemp. Math. \textbf{154}, Providence, Amer. Math. Soc., pp. 21-45 (1993) 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), Vanishing theorems in algebraic geometry, Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)), Local cohomology of analytic spaces, Hyperbolic and Kobayashi hyperbolic 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) P. Gajer, ''Higher holonomies, geometric loop groups and smooth deligne cohomology,'' In: Advances in Geometry, J.-L. Brylinski, ed., Progr. Math. 172, 195--235 (1999). Issues of holonomy in differential geometry, Loop groups and related constructions, group-theoretic treatment, Symplectic manifolds (general theory), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Connections (general theory), Applications of Eilenberg-Moore spectral sequences
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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, Linear algebraic groups over local fields and their integers, Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties, Linear algebraic groups over finite fields, Group actions on varieties or schemes (quotients), Hecke algebras and their representations, Reflection and Coxeter groups (group-theoretic aspects)
| 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) V. L. Popov, AMS Transl., Ser. 2, \textbf{213}, pp. 215-222. Homogeneous spaces and generalizations, Group actions on varieties or schemes (quotients), Projective techniques in 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) K. Kodaira, On Kähler varieties of restricted type (an intrinsic characterization of algebraic varieties), Ann. of Math. (2), \textbf{60} (1954), 28-48. Surfaces of general type, Special surfaces, 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) E. Feigin, ''Degenerate flag varieties and the median Genocchi numbers,'' Math. Res. Lett., 18:6 (2011), 1163--1178. Grassmannians, Schubert varieties, flag manifolds, Other combinatorial number theory, 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) Panyushev, D., On the coadjoint representation of \(\mathbb{Z}_2\)-contractions of reductive Lie algebras, Adv. math., 213, 380-404, (2007) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Group actions on affine varieties, 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) Raghavan, K.N., Sankaran, P.: A new approach to standard monomial theory for classical groups. Transform. Groups 3(1), 57--73 (1998) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of representation 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) Cohomology of Lie (super)algebras, Virasoro and related algebras, Infinite-dimensional Lie (super)algebras, Lie algebras of vector fields and related (super) algebras, Curves 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) Formal groups, \(p\)-divisible 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) Platonov, V. P. \& Rapinchuk, A. S., Algebraic Groups and Number Theory. Nauka, Moscow, 1991 (Russian). Cohomology theory for linear algebraic groups, Linear algebraic groups over global fields and their integers, Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to group theory, Galois cohomology of linear algebraic groups, Algebraic number theory: global fields, Galois cohomology, Classical groups (algebro-geometric aspects), Discrete subgroups of Lie groups, Cohomology of 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) C. Lucarelli, ''A converse to Mazur's inequality for split classical groups,'' J. Inst. Math. Jussieu, vol. 3, iss. 2, pp. 165-183, 2004. Formal groups, \(p\)-divisible groups, Galois cohomology, \(p\)-adic cohomology, crystalline cohomology, 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) Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Simple, semisimple, reductive (super)algebras, Lie algebras of Lie groups, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, 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) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Sheaves of differential operators and their modules, \(D\)-modules, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Introductory exposition (textbooks, tutorial papers, etc.) pertaining to 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) D. Beraldo, Loop group actions on categories and Whittaker invariants, arXiv:1310.5127. Geometric Langlands program: representation-theoretic aspects, Loop groups and related constructions, group-theoretic treatment, Geometric Langlands program (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) I. V. Arzhantsev, ''Algebras with finitely generated invariant subalgebras,'' Ann. Inst. Fourier, 53, No.2, 379--398 (2003). Actions of groups on commutative rings; invariant theory, Commutative rings and modules of finite generation or presentation; number of generators, Affine algebraic groups, hyperalgebra constructions, Group actions on varieties or schemes (quotients), Homogeneous spaces and generalizations, Group actions on affine 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) Borovoi M., Kunyavskiĭ B., Gille P., Arithmetical birational invariants of linear algebraic groups over two-dimensional geometric fields, J. Algebra, 2004, 276(1), 292--339 Galois cohomology of linear algebraic groups, Other algebraic groups (geometric aspects), Linear algebraic groups over local fields and their integers, Linear algebraic groups over global 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) S. Kumar : Cohomology algebra of Schubert varieties associated to Kac-Moody groups, to appear in proceedings of the CMS Seminar in Algebraic Geometry , Vancouver (1984). Grassmannians, Schubert varieties, flag manifolds, Classical real and complex (co)homology in algebraic geometry, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Homogeneous spaces and generalizations, 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) Group schemes, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Kac-Moody groups, 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) K. Suzuki, ''On the autornorphisms of Chevalley groups over p-adic integer rings,'' Kumamato J. Sci., Math., 16, No. 1, 39--47 (1984). Linear algebraic groups over local fields and their integers, Automorphisms of infinite groups, 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) Combinatorial aspects of representation theory, Symmetric functions and generalizations, Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Quantum groups (quantized enveloping algebras) and related deformations, 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) Tabuada, G, Additive invariants of toric and twisted projective homogeneous varieties via noncommutative motives, J. Algebra, 417, 15-38, (2014) \(K\)-theory of schemes, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Noncommutative algebraic geometry, Affine algebraic groups, hyperalgebra constructions, Toric varieties, Newton polyhedra, Okounkov bodies, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), \(K\)-theory and homology; cyclic homology and cohomology
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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.-K. Yeung, A surface of maximal canonical degree, to appear in Math. Ann., 19 pp. Surfaces of general type, Special surfaces, 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) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills), Discrete subgroups of Lie groups, Fuchsian groups and their generalizations (group-theoretic aspects), Vector bundles on curves and their moduli
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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) Reflection and Coxeter groups (group-theoretic aspects), Representation theory for linear algebraic groups, Grassmannians, Schubert varieties, flag manifolds, Linear algebraic groups over finite fields, Group actions on varieties or schemes (quotients), 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) N. M. Katz, ''On the calculation of some differential Galois groups,'' Invent. Math., vol. 87, iss. 1, pp. 13-61, 1987. Differential algebra, Linear ordinary differential equations and systems, Generalizations (algebraic spaces, stacks), Affine algebraic groups, hyperalgebra constructions, Transcendental methods, Hodge theory (algebro-geometric aspects), (Co)homology theory 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) Geiß, C.; Leclerc, B.; Schröer, J., Kac-Moody groups and cluster algebras, Adv. Math., 228, 1, 329-433, (2011), MR2822235 Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Cluster algebras, Special varieties, Representations of quivers and partially ordered sets, Universal enveloping (super)algebras, Quantum groups (quantized enveloping algebras) and related deformations, Representation theory for linear algebraic groups, Loop groups and related constructions, group-theoretic treatment, 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: 10.1080/00927879408825095 Quantum groups (quantized enveloping algebras) and related deformations, 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, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills)
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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) Semigroups of transformations, relations, partitions, etc., Linear algebraic groups over arbitrary fields, 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) Voskresenskii V. E., Izvestiya: Mathematics 59 (5) pp 881-- Linear algebraic groups over local fields and their integers, Linear algebraic groups over global fields and their integers, Algebraic field extensions, Minimal model program (Mori theory, extremal rays), Group schemes, 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) Bezrukavnikov, Roman; Mirković, Ivan, Representations of semisimple Lie algebras in prime characteristic and the noncommutative Springer resolution, Annals of Mathematics, 178, 835-919, (2013) Modular Lie (super)algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), 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) R. Friedman, J. Morgan, Minuscule representations, invariant polynomials, and spectral covers, in: Vector Bundles and Representation Theory (Columbia, MO, 2002), Contemp. Math., Vol. 322, Amer. Math. Soc., Providence, RI, 2003, pp. 1--41. 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) Williamson, Geordie; Braden, Tom, Modular intersection cohomology complexes on flag varieties, Math. Z., 0025-5874, 272, 3-4, 697\textendash 727 pp., (2012) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Homogeneous spaces and generalizations, Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Hecke 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) Infinite-dimensional Lie (super)algebras, Families, moduli of curves (algebraic), 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) Linear algebraic groups over adèles and other rings and 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) Will, P., Traces, cross ratios and 2-generator subgroups of \({{\mathrm SU}}(2,1)\), Can. J. Math., 61, 1407-1436, (2009) Geometric invariant theory, Discrete subgroups of Lie groups, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Hyperbolic and elliptic geometries (general) and generalizations, Actions of groups on commutative rings; invariant theory, General properties and structure of complex Lie groups, Differential geometry of symmetric spaces, 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) Gille, P.: Torseurs sur la droite affine et R-équivalence. Thèse Dr. Sci., Univ. Paris-Sud (1997). See also Gille, P.: Torseurs sur la droite affine. Trans. Gr. \textbf{7}, 231-245 (2002) Linear algebraic groups over global fields and their integers, 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) Tsuchiya, A.; Ueno, K.; Yamada, Y., Conformal field theory on universal family of stable curves with gauge symmetries, \textit{Adv. Stud. Pure Math.}, 19, 459-566, (1989) Infinite-dimensional Lie (super)algebras, Quantum field theory; related classical field theories, Families, moduli of curves (analytic)
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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. Härterich, Kazhdan-Lusztig-Basen, unzerlegbare Bimoduln und die Topologie der Fahnenmannigfaltigkeit einer Kac-Moody-Gruppe, 1999. Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Loop groups and related constructions, group-theoretic treatment, Grassmannians, Schubert varieties, flag manifolds, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Hecke 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) Research exposition (monographs, survey articles) pertaining to group theory, Groups of finite Morley rank, Model-theoretic algebra, Affine algebraic groups, hyperalgebra constructions, Automorphisms of infinite groups, 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) Group schemes, Affine algebraic groups, hyperalgebra constructions, Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain, Differential algebra
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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.: A family of representations of affine Lie algebras. Uspekhi mat. Nauk 43, No. 5263, 227-228 (1988) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Cohomology of Lie (super)algebras, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), 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) 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) DOI: 10.1017/S0017089512000110 Grassmannians, Schubert varieties, flag manifolds, Classical real and complex (co)homology in algebraic geometry, Rings arising from 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) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Representation theory for linear algebraic groups, Symmetric functions and generalizations, 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) Feigin, E., Degenerate \textit{SL}\_{}\{\(n\)\}: representations and flag varieties, Funct. Anal. Appl., 48, 59-71, (2014) Simple, semisimple, reductive (super)algebras, Classical groups (algebro-geometric aspects), Solvable, nilpotent (super)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) Formal groups, \(p\)-divisible groups, Rigid analytic geometry, \(p\)-adic cohomology, crystalline cohomology, 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) 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) J.A. Harvey and G.W. Moore, \textit{Conway subgroup symmetric compactifications of heterotic string}, arXiv:1712.07986 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Finite-dimensional groups and algebras motivated by physics and their representations, Discrete subgroups of Lie groups, Toric varieties, Newton polyhedra, Okounkov bodies, Topology and geometry of orbifolds, Calabi-Yau manifolds (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) Loop groups and related constructions, group-theoretic treatment, Group actions on varieties or schemes (quotients)
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