Some remarks on the uniqueness of liftings of principal indecomposable modules for infinitesimal subgroups of semisimple groups

DOI10.1016/J.JALGEBRA.2016.08.025zbMath1370.20035OpenAlexW2510271819MaRDI QIDQ514209

Stephen Donkin

Publication date: 28 February 2017

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.08.025

zbMATH Keywords

special linear groupinjective envelopeprojective indecomposable modulesemisimple algebraic groupFrobenius kernelHumphreys-Verma conjecturelifting module structure

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10)

Related Items (3)

On Donkin’s tilting module conjecture I: lowering the prime ⋮ On (𝑝,𝑟)-filtrations and tilting modules ⋮ On liftings of projective indecomposable \(G_{(1)}\)-modules

Cites Work

• Unnamed Item
• On liftings of projective indecomposable \(G_{(1)}\)-modules
• The cohomology of line bundles on the three-dimensional flag variety
• A filtration for rational modules
• Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne.

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