A generalization of Pillen's theorem for principal series modules. II.

DOI10.1016/j.jalgebra.2015.01.024zbMath1316.20008OpenAlexW2091154196MaRDI QIDQ2341306

Yutaka Yoshii

Publication date: 24 April 2015

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.01.024

zbMATH Keywords

Weyl modulesfinite groups of Lie typesimply connected algebraic groups0-Hecke algebrasfinite Chevalley groupsprincipal series moduleshighest weight vectorsFrobenius morphisms

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 (1)

The decomposition of permutation module for infinite Chevalley groups

Cites Work

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• A characterization of the modular representations of finite groups with split \((B,N)\)-pairs
• Loewy series for principal series representations of finite Chevalley groups
• A sum formula for tilting filtrations
• A generalization of Pillen’s theorem for principal series modules
• Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne.
• Filtrations of $G$-modules
• Modular Representations of Finite Groups of Lie Type
• Introduction to Lie Algebras and Representation Theory

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