On the zeta functions of the varieties X(w) of the split classical groups and the unitary groups

zbMath0515.20026MaRDI QIDQ1051728

Teruaki Asai

Publication date: 1983

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

symplectic groupsWeyl groupeigenvaluescharacterstracezeta functionunitary groupsirreducible representationsclass functionsHecke algebraBorel subgroupunipotent charactersendomorphism algebraDeligne-Lusztig varietyvirtual charactersstable maximal torusvirtual representation

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Classical groups (algebro-geometric aspects) (14L35)

Related Items (4)

Fonctions $L$ des variétés de Deligne-Lusztig et descente de Shintani ⋮ Unipotent characters of the symplectic and odd orthogonal groups over a finite field ⋮ Unipotent Characters of the Even Orthogonal Groups over a Finite Field ⋮ Shintani lifting and real-valued characters.

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