A generalized Poincaré series associated to a Hecke algebra of a finite or p-adic Chevalley group

DOI10.3792/PJAA.57.267zbMath0493.20025OpenAlexW2022328477MaRDI QIDQ1168427

Akihiko Gyoja

Publication date: 1981

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.57.267

zbMATH Keywords

rational functionspower seriescritical stripHecke algebraalgebraic varietyCoxeter systemfinite dimensional representationPoincare seriescongruence zeta function

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Cites Work

• Representations of Coxeter groups and Hecke algebras
• The Poincaré series of a Coxeter group
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