Unipotent class functions of split special orthogonal groups over finite fields

DOI10.1080/00927878408823017zbMath0545.20028OpenAlexW1999356136MaRDI QIDQ3335940

Teruaki Asai

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00927878408823017

zbMATH Keywords

Fourier transformautomorphismsFrobenius morphismzeta functionsclass functionsBorel subgroupregular subgroupmaximal torusparabolic subgroupunipotent charactersDeligne-Lusztig varietiesendomorphism algebraconnected reductive groupnorm mapvirtual characterseven orthogonal group

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (9)

Generalized Harish-Chandra theory for unipotent characters of finite classical groups ⋮ Representations of finite groups ⋮ Fonctions $L$ des variétés de Deligne-Lusztig et descente de Shintani ⋮ The decomposition of Lusztig induction in classical groups ⋮ Character bounds for regular semisimple elements and asymptotic results on Thompson's conjecture ⋮ The unipotent class functions of exceptional groups over finite fields ⋮ The unipotent class functions on the symplectic groups and the odd orthogonal groups over finite fields ⋮ A Murnaghan–Nakayama rule for values of unipotent characters in classical groups ⋮ The unipotent class functions of non-split finite special orthogonal groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unipotent characters of the symplectic and odd orthogonal groups over a finite field
• Representations of reductive groups over finite fields
• On the irreducible characters of the finite unitary groups
• Coxeter orbits and eigenspaces of Frobenius
• On the finiteness of the number of unipotent classes
• Irreducible representations of finite classical groups
• The characters of the finite unitary groups
• Characters and centers of symmetric algebras
• On the Steinberg characters of finite Chevalley groups
• Liftings and the zeta functions of the deligne-lusztig varieties
• Unipotent characters of exceptional groups over finite fields f_QWith small q

This page was built for publication: Unipotent class functions of split special orthogonal groups over finite fields