Generalized Blocks of Unipotent Characters in the Finite General Linear Group

DOI10.1080/00927870802175055zbMath1168.20006arXivmath/0609029OpenAlexW2045155753MaRDI QIDQ3548580

Jean-Baptiste Gramain

Publication date: 16 December 2008

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

Full work available at URL: https://arxiv.org/abs/math/0609029

zbMATH Keywords

representation theoryfinite general linear groupsunipotent charactersNakayama conjecturegeneralized blocksblock theory

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Cites Work

• Foncteurs de Lusztig et caractères des groupes linéaires et unitaires sur un corps fini. (Lusztig functors and characters of linear and unitary groups over a finite field)
• Reduction theorems for characters of finite groups of Lie type
• Generalized blocks for symmetric groups.
• The blocks of finite general linear and unitary groups
• On generalized blocks for alternating groups.
• The duality operation in the character ring of a finite Chevalley group
• On the Representation of the Symmetric Group

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