Ordinary and modular characters of \(\mathrm{SL}(3,p)\).

DOI10.1016/0021-8693(81)90309-4zbMath0474.20021OpenAlexW4213292933MaRDI QIDQ1159283

James E. Humphreys

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90309-4

zbMATH Keywords

blockBrauer complexclass functionsemisimple elementsSteinberg charactermodular irreducible charactersDeligne-Lusztig virtual characters\(p\)-modular decomposition matrixmodular principal indecomposable charactersvirtual Brauer characters

Mathematics Subject Classification ID

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

Related Items

Projective modules for Sp(4,p) in characteristic p, Representations of finite groups, On defects of characters and decomposition numbers, Tensor product Markov chains, The blocks of a semisimple algebraic group, Ordinary and modular characters of \(\mathrm{SU}(3,p)\)., Permutation representations and a fragment of the decomposition matrix of symplectic and special linear groups over a finite field, On the Brauer complex of a finite group of Lie type, Finite linear groups of degree 6, Stable decompositions of classifying spaces of finite abelianp-groups, Reducing mod 𝑝 complex representations of finite reductive groups, Über 5-Darstellungen der Lyonsgruppe

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Deligne-Lusztig characters and principal indecomposable modules
• On the projective characters in characteristic 2 of the groups \(SL_3(2^m)\) and \(SU_3(2^m)\)
• Zur Reduktion modulo p der Charaktere von Deligne und Lusztig
• Irreducible representations of finite classical groups
• Projective Modules for Finite Chevalley Groups
• Some computations of cartan invariants for finite groups of lie type
• Weyl Groups, Deformations of Linkage Classes, and Character Degrees For Chevalley Groups
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)