The unipotent class functions of exceptional groups over finite fields

DOI10.1080/00927878408823130zbMath0547.20037OpenAlexW2004822796MaRDI QIDQ3338442

Teruaki Asai

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00927878408823130

zbMATH Keywords

Weyl groupclass functionsconjugacy classtwistingunipotent representationsexceptional charactersFrobenius mappingfinite exceptional groupsLusztig's Fourier transformsplit adjoint simple group

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10)

Related Items (5)

Groupes réductifs non connexes ⋮ Fonctions $L$ des variétés de Deligne-Lusztig et descente de Shintani ⋮ Shintani descent for algebraic groups over a finite field. I ⋮ Fourier transforms and Frobenius eigenvalues for finite Coxeter groups. ⋮ The unipotent class functions of non-split finite special orthogonal groups

Cites Work

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• The classes and representations of the groups of 27 lines and 28 bitangents
• Liftings and the zeta functions of the deligne-lusztig varieties
• Unipotent characters of exceptional groups over finite fields f_QWith small q
• Unipotent class functions of split special orthogonal groups over finite fields
• The unipotent class functions on the symplectic groups and the odd orthogonal groups over finite fields

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