Basic sets of Brauer characters of finite groups of Lie type. III

DOI10.1007/BF02568193zbMath0820.20018WikidataQ115392016 ScholiaQ115392016MaRDI QIDQ1343713

Meinolf Geck

Publication date: 30 January 1995

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156017

zbMATH Keywords

irreducible charactersfinite groups of Lie typecharacter sheavesconnected reductive groupsfinite classical groupsGelfand-Graev representations2-modular Brauer charactersbasic sets of Brauer charactersdecomposition matrix of principal 2-block

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

Unnamed Item ⋮ Unitriangular shape of decomposition matrices of unipotent blocks ⋮ Submatrices of character tables and basic sets ⋮ Unipotent elements of finite groups of Lie type and realization fields of their complex representations. ⋮ A basic set for the alternating group ⋮ On the number of simple modules in a block of a finite group ⋮ On the unipotent support of character sheaves. ⋮ A 2-basic set of the alternating group. ⋮ Basic sets for the double covering groups of the symmetric and alternating groups in odd characteristic

Uses Software

• CHEVIE

Cites Work

• Character sheaves. I
• On the character values of finite Chevalley groups at unipotent elements
• A unipotent support for irreducible representations
• Unipotent blocks of finite reductive groups of a given type
• Cuspidal unipotent Brauer characters
• The blocks of finite general linear and unitary groups
• Character sheaves and almost characters of reductive groups. I, II
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Centralizers of Semisimple Elements in the Finite Classical Groups
• Remarks on Computing Irreducible Characters
• Centralizers of Semisimple Elements in Finite Groups of Lie Type
• Basic Sets of Brauer Characters of Finite Groups of Lie Type II
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