Quotient Categories of Modular Representations

DOI10.1007/978-0-8176-4697-4_1zbMath1233.20039OpenAlexW79508076MaRDI QIDQ3015525

Henning Haahr Andersen

Publication date: 13 July 2011

Published in: Representation Theory of Algebraic Groups and Quantum Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-8176-4697-4_1

zbMATH Keywords

weightstilting modulesquantum groupsWeyl modulesreductive algebraic groupsmodular representationsFrobenius kernelsquotient categoriescomposition multiplicities

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10)

Related Items (1)

From Hopf Algebras to Tensor Categories

Cites Work

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• Projective functors for algebraic groups.
• Tensor products of quantized tilting modules
• On tilting modules for algebraic groups
• On the relation between intersection cohomology and representation theory in positive characteristic.
• Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. II: Nonintegral case
• Fusion categories arising from semisimple Lie algebras
• Representations of quantum algebras
• The strong linkage principle.
• Monodromic systems on affine flag manifolds
• Des catégories abéliennes

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