ALPERIN'S CONJECTURE FOR ALGEBRAIC GROUPS

DOI10.1093/QMATH/HAM043zbMATH Open1149.20037arXivmath/0703411OpenAlexW2592153949WikidataQ123138430 ScholiaQ123138430MaRDI QIDQ3531425

Raphaël Rouquier, Gerhard Röhrle

Publication date: 31 October 2008

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Abstract: We prove analogues for reductive algebraic groups of some results for finite groups due to Knoerr and Robinson which play a central role in their reformulation of Alperin's conjecture for finite groups.

Full work available at URL: https://arxiv.org/abs/math/0703411

zbMATH Keywords

reductive algebraic groupsclass functionsmodular group algebrasadjoint representationalternating sumsAlperin conjectureprojective simple moduleschains of parabolic subgroups

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05)

Related Items (4)

Alperin's conjecture and the subgroup structure of a finite group ⋮ Broué’s abelian defect group conjecture for alternating groups ⋮ ALPERIN'S WEIGHT CONJECTURE AND CHAIN COMPLEXES ⋮ The isomorphism and isogeny theorems for reductive algebraic groups

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