Pré-Publication, Document De Travail Année : 2015

A short proof of the existence of supercuspidal representations for all reductive $p$-adic groups

Résumé

Let $G$ be a reductive $p$-adic group. It can be important for certain global arguments on the trace formula to know that $G$ admits supercuspidal complex representations. We prove that it is always the case. This result has already been established by A. Kret in [K]. Our argument is of a different nature and is based on the Harish-Chandra theory of cusp forms. It ultimately relies on the existence of elliptic maximal tori in $G$.

Fichier principal
Vignette du fichier
existence supercuspidal.pdf (117.13 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-01138463 , version 1 (02-04-2015)
hal-01138463 , version 2 (21-12-2015)

Licence

Identifiants

Citer

Raphaël Beuzart-Plessis. A short proof of the existence of supercuspidal representations for all reductive $p$-adic groups. 2015. ⟨hal-01138463v1⟩
216 Consultations
412 Téléchargements

Altmetric

Partager

  • More