On the computation of unipotent characters of finite classical groups

DOI10.1007/BF01190328zbMath0845.20033OpenAlexW2079229341MaRDI QIDQ1912708

Toshiaki Shoji

Publication date: 16 September 1996

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01190328

zbMATH Keywords

Lusztig conjecturefinite classical groupsunipotent characters

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Related Items (8)

Uniform projection of the Weil character ⋮ Formulae for two-variable Green functions ⋮ Wavefront sets and descent method for finite unitary groups ⋮ Unitriangular shape of decomposition matrices of unipotent blocks ⋮ GENERALIZED GELFAND–GRAEV REPRESENTATIONS IN SMALL CHARACTERISTICS ⋮ Lusztig induction, unipotent supports, and character bounds ⋮ A first guide to the character theory of finite groups of Lie type ⋮ On the values of unipotent characters of finite Chevalley groups of type \(E_6\) in characteristic 3

Cites Work

• On the Green polynomials of classical groups
• Intersection cohomology complexes on a reductive group
• Green functions and character sheaves
• Character sheaves. I
• On the character values of finite Chevalley groups at unipotent elements
• Irreducible representations of finite classical groups
• Character sheaves and almost characters of reductive groups. I, II
• Characters of Reductive Groups over a Finite Field. (AM-107)

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