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.
Origine : Fichiers produits par l'(les) auteur(s)
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