Loewy series for principal series representations of finite Chevalley groups

DOI10.1006/jabr.1996.6886zbMath0929.20036OpenAlexW1999253079MaRDI QIDQ1355579

Cornelius Pillen

Publication date: 27 January 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6886

zbMATH Keywords

weightsfinite groups of Lie typeprincipal series representationsLusztig conjectureinduced modulesBorel subgroupsJantzen filtrationssplit maximal torusFrobenius morphismsradical filtrationsconnected simply connected semisimple algebraic groupsgeneric Weyl modulessocle filtrations

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Related Items (8)

The decomposition of permutation module for infinite Chevalley groups ⋮ On comparing the cohomology of algebraic groups, finite Chevalley groups and Frobenius kernels ⋮ The permutation module on flag varieties in cross characteristic ⋮ SERRE WEIGHTS AND BREUIL’S LATTICE CONJECTURE IN DIMENSION THREE ⋮ Extensions for finite Chevalley groups. I. ⋮ Generic patterns for extensions of simple modules for finite Chevalley groups ⋮ A generalization of Pillen’s theorem for principal series modules ⋮ A generalization of Pillen's theorem for principal series modules. II.

Cites Work

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