On character formulas for simple and tilting modules

DOI10.1016/j.aim.2020.107172OpenAlexW3023561800MaRDI QIDQ2182264

Paul Sobaje

Publication date: 23 May 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.10308

zbMATH Keywords

algebraic groupstilting modulescharacter formula

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05)

Related Items (7)

BGG categories in prime characteristics ⋮ Coxeter combinatorics for sum formulas in the representation theory of algebraic groups ⋮ On Donkin’s tilting module conjecture I: lowering the prime ⋮ The Steinberg quotient of a tilting character ⋮ Representation theory via cohomology of line bundles ⋮ A simple character formula ⋮ Smith-Treumann theory and the linkage principle

Cites Work

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• Bounding Ext for modules for algebraic groups, finite groups and quantum groups.
• On tilting modules for algebraic groups
• Tilting modules for classical groups and Howe duality in positive characteristic
• Smith-Treumann theory and the linkage principle
• Counterexamples to the tilting and \((p,r)\)-filtration conjectures
• Tensor products of modules with restricted highest weight
• Tilting modules and the p-canonical basis
• Koszul duality for Kac–Moody groups and characters of tilting modules

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