Shintani descent and perfect isometries for blocks of finite general linear groups.

DOI10.1016/j.jalgebra.2004.02.013zbMath1078.20013OpenAlexW2022992703MaRDI QIDQ1886820

Radha Kessar

Publication date: 19 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.02.013

zbMATH Keywords

general linear groupsirreducible charactersclass functionsperfect isometriesunipotent blocksmodular systems

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

A note on perfect isometries between finite general linear and unitary groups at unitary primes, Survey on perfect isometries, Isotypies for the quasisimple groups with exceptional Schur multiplier, On the isotypy induced by the Glauberman-Dade correspondence between blocks of finite groups.

Cites Work

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• Isométries de caractères et équivalences de Morita ou dérivées. (Isometries of characters and Morita or derived equivalences)
• Two remarks on irreducible characters of finite general linear groups
• The Glauberman character correspondence and perfect isometries for blocks of finite groups
• Derived categories and Deligne-Lusztig varieties.
• The blocks of finite general linear and unitary groups
• DONOVAN CONJECTURE AND LOEWY LENGTH FOR PRINCIPAL 3-BLOCKS OF FINITE GROUPS WITH ELEMENTARY ABELIAN SYLOW 3-SUBGROUP OF ORDER 9
• On a theorem of Shintani
• Equivalent blocks of finite general linear groups in non-describing characteristic.