ON UNITARY REPRESENTATIONS OF ALGEBRAIC GROUPS OVER LOCAL FIELDS - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Representation Theory. An Electronic Journal of the American Mathematical Society Année : 2021

ON UNITARY REPRESENTATIONS OF ALGEBRAIC GROUPS OVER LOCAL FIELDS

Résumé

Let G be an algebraic group over a local field k of characteristic zero. We show that the locally compact group G(k) consisting of the k-rational points of G is of type I. Moreover, we complete Lipsman's characterization of the groups G for which every irreducible unitary representation of G(k) is a CCR representation and show at the same time that such groups belong to the family of trace class groups, recently studied by Deitmar and van Dijk.
Fichier principal
Vignette du fichier
TypeI-AlgGroups.pdf (392.4 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02500878 , version 1 (06-03-2020)

Identifiants

Citer

Bachir Bekka, Siegfried Echterhoff. ON UNITARY REPRESENTATIONS OF ALGEBRAIC GROUPS OVER LOCAL FIELDS. Representation Theory. An Electronic Journal of the American Mathematical Society, 2021, 25 (17), pp.508-526. ⟨10.1090/ert/574⟩. ⟨hal-02500878⟩
72 Consultations
209 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More