AFRICA MATHEMATICS ANNALS

On the δ-admissible Representations

GRAH Leiga Emmanuelle ^(*) and Kinvi KANGNI ^(**)

Laboratoire: Mathématiques Fondamentales
U.F.R: Mathématiques et Informatique
Université Félix Houphout Boigny,
22 BP 582 Abidjan 22, Côte d’ Ivoire   

Mathematics Subject Classification: (MSC 2010): 22E45, 22D10, 22D20
Key words: Representation, pro nite groups, locally compact groups, K-δ-invariant vectors.

Abstract:

Let G be a locally compact group, K a large compact subgroup of G and δ an element of the unitary dual of K. In this paper, we introduce the notion of δ-admissible representation and study some of its properties. If δ is trivial, one dimensional and smooth, we have the classical version which is well known.