On (𝑝,𝑟)-filtrations and tilting modules

DOI10.1090/PROC/13926zbMath1428.20042arXiv1610.09323OpenAlexW2964093080MaRDI QIDQ4604673

Paul Sobaje

Publication date: 5 March 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.09323

zbMATH Keywords

good filtrationsalgebraic groupFrobenius kernelsinjective hulltilting moduleSteinberg modulelifting of module structures

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05)

Related Items (3)

On Donkin’s tilting module conjecture I: lowering the prime ⋮ Counterexamples to the tilting and \((p,r)\)-filtration conjectures ⋮ On tensoring with the Steinberg representation

Cites Work

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• On good \((p,r)\)-filtrations for rational \(G\)-modules.
• On liftings of projective indecomposable \(G_{(1)}\)-modules
• Some remarks on the uniqueness of liftings of principal indecomposable modules for infinitesimal subgroups of semisimple groups
• Decomposition of tensor products involving a Steinberg module
• Tensor products of modules with restricted highest weight
• Factoring tilting modules for algebraic groups
• On Injective Modules for Infinitesimal Algebraic Groups, I
• Projective Modules for Finite Chevalley Groups
• On p -filtrations of Weyl modules
• \(p\)-filtrations and the Steinberg module

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