The irreducible Brauer characters of the finite special linear groups in non-describing characteristics

DOI10.1006/JABR.1998.7736zbMath0948.20007OpenAlexW1975707113MaRDI QIDQ1291103

Jochen Gruber

Publication date: 31 August 2000

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

Full work available at URL: https://semanticscholar.org/paper/717e7fb14c16eb96e4fac7195ec626464922d5cc

zbMATH Keywords

finite groups of Lie typeirreducible Brauer charactersdecomposition numbersdecomposition matricesprojective latticesGelfand-Graev charactersbasic sets of ordinary characterscuspidal Brauer charactersextended \(q\)-Schur algebrasextended Hecke algebrasgroups with split BN-pairsHarish-Chandra functorsLusztig series

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) 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 (1)

Representations of finite special linear groups in non-defining characteristic.

Cites Work

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• On Lusztig's Isomorphism Theorems for Hecke Algebras and Representation Theory
• The Decomposition Matrices of GL _n (q ) for n ⩽ 10

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