Harish-Chandra Vertices and Steinberg's Tensor Product Theorems for Finite General Linear Groups

DOI10.1112/S0024611597000439zbMath0909.20027MaRDI QIDQ4400020

Jie Du, Richard Dipper

Publication date: 7 April 1999

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hecke algebrasgroup algebrasSchur algebrassimple modulesfinite groups of Lie typeirreducible modulesprincipal series representationsverticesreflection groupssourcesHarish-Chandra inductionHecke functorsGreen-correspondenceSteinberg's tensor product theorems

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (10)

On Young modules of general linear groups. ⋮ Categorical actions on unipotent representations of finite unitary groups ⋮ Alvis-Curtis duality for finite general linear groups and a generalized Mullineux involution ⋮ Categorical actions on unipotent representations of finite classical groups ⋮ On modular Harish-Chandra series of finite unitary groups ⋮ Lower bounds for degrees of irreducible Brauer characters of finite general linear groups ⋮ Stabilizing bisets ⋮ Expansivity and Roquette groups ⋮ Bounds on the dimension of \(\mathrm{Ext}\) for finite groups of Lie type ⋮ On quotients of Hom-functors and representations of finite general linear groups. II

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