On graded representations of modular Lie algebras over commutative algebras

DOI10.1016/J.JPAA.2022.107033OpenAlexW4225918601WikidataQ115345290 ScholiaQ115345290MaRDI QIDQ2134664

Matthew Westaway

Publication date: 3 May 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.04994

zbMATH Keywords

inductionbaby Verma moduleprojective covermodular Lie algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Projectives and injectives (category-theoretic aspects) (18G05) Modular Lie (super)algebras (17B50) Module categories and commutative rings (13C60)

Cites Work

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• Kazhdan-Lusztig conjecture and holonomic systems
• Representations of Coxeter groups and Hecke algebras
• Modular representations of reductive Lie algebras
• Modular Representation Theory of Lie Algebras
• Projective modules over Lie algebras of Cartan type
• Subregular nilpotent representations of [sscr [Iscr ]_n and [sscr ][oscr ]_2n+1]
• Tilting modules and the p-canonical basis
• Schubert calculus and torsion explosion
• A Course in Finite Group Representation Theory
• A bimodule description of the Hecke category

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