Remarks on modular representations of finite groups of Lie type in non-defining characteristic

zbMATH Open1319.20012arXiv1107.0296MaRDI QIDQ5416228

Meinolf Geck

Publication date: 19 May 2014

Abstract: Let $G$ be a finite group of Lie type and $ell$ be a prime which is not equal to the defining characteristic of $G$. In this note we discuss some open problems concerning the $ell$-modular irreducible representations of $G$. We also establish a strengthening of the results in [13] on the classification of the $ell$-modular principal series representations of $G$.

Full work available at URL: https://arxiv.org/abs/1107.0296

zbMATH Keywords

finite groups of Lie typedecomposition numbersunipotent representationsirreducible modular representations

Mathematics Subject Classification ID

Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (3)

A remark on irreducible modules for finite Lie-type groups ⋮ Unitriangular shape of decomposition matrices of unipotent blocks ⋮ An exact category approach to Hecke endomorphism algebras

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