Unipotent blocks of finite reductive groups of a given type

DOI10.1007/BF03025733zbMath0795.20021MaRDI QIDQ1321001

Michel Enguehard, Marc Cabanes

Publication date: 18 September 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174541

zbMATH Keywords

reductive groupsblock algebrasunipotent charactersadjoint group\(\ell\)-blocks

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

On unipotent blocks and their ordinary characters, Bounds on the number of irreducible Brauer characters in blocks of finite groups of exceptional Lie type, Basic sets of Brauer characters of finite groups of Lie type. III, Characters and Sylow 2-subgroups of maximal class revisited, Alperin weight conjecture and related developments, On the Morita Frobenius numbers of blocks of finite reductive groups, Quasi-isolated blocks and Brauer's height zero conjecture., Quasi-isolated blocks and the Alperin–McKay conjecture, Brauer trees of unipotent blocks, 2-blocks with abelian defect groups., On \(e\)-cuspidal pairs of finite groups of exceptional Lie type, Brauer's height zero conjecture for quasi-simple groups, On the number of simple modules in a block of a finite group, Scopes reduction and Morita equivalence classes of blocks in finite classical groups. II., The structure of blocks with a Klein four defect group., Towards the Eaton-Moretó conjecture on the minimal height of characters, On the unipotent \(l\)-blocks of finite reductive groups when \(l\) is bad, Reduction theorems for generalised block fusion systems, On Rouquier blocks for finite classical groups at linear primes.

Cites Work

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• Local methods in block theory
• Isométries de caractères et équivalences de Morita ou dérivées. (Isometries of characters and Morita or derived equivalences)
• 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)
• Representations of reductive groups over finite fields
• Irreducible representations of finite classical groups
• The characters of the finite unitary groups
• The blocks of finite general linear and unitary groups
• Endomorphisms of linear algebraic groups