Reducibility of unramified unitary principal series representations of p- adic groups and class-1 representations

DOI10.1007/BF01457019zbMath0488.22026OpenAlexW2066270943MaRDI QIDQ1165965

D. Keys

Publication date: 1982

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163675

zbMATH Keywords

group algebraintertwining operatorsirreducible componentcommuting algebrassemi-simple p-adic groupsunitary principal series representations

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Analysis on (p)-adic Lie groups (22E35)

Related Items

R-GROUP AND WHITTAKER SPACE OF SOME GENUINE REPRESENTATIONS, Unnamed Item, R-group and Whittaker space of some genuine representations. II, Weakly unramified representations, finite morphisms, and Knapp-Stein \(R\)-groups, Muller-Speh-Vogan type irreducibility criterion for generalized principal series, Knapp-Stein dimension theorem for finite central covering groups, $L$-indistinguishability and $R$-groups for quasisplit groups : unitary groups in even dimension, Langlands-Shahidi method and poles of automorphic \(L\)-functions. III: Exceptional groups, Some results on the unramified principal series of \(p\)-adic groups, Unnamed Item, Euler factors attached to unramified principal series representations, The base change fundamental lemma for central elements in parahoric Hecke algebras, The fundamental lemma for stable base change, Fonctions élémentaires et lemme fondamental pour le changement de base stable. (Elementary functions and fundamental lemma for stable base change)

Cites Work

• Unnamed Item
• On the decomposition of reducible principal series representations of p- adic Chevalley groups
• Intertwining operators for semisimple groups. II
• The Knapp-Stein Dimension Theorem for p-Adic Groups. Correction
• Introduction to Harmonic Analysis on Reductive P-adic Groups. (MN-23): Based on lectures by Harish-Chandra at The Institute for Advanced Study, 1971-73