Sur la Propriété (T) Tordue par un Produit Tensoriel
Journal of Lie Theory, Tome 17 (2007) no. 3, pp. 505-524
Voir la notice de l'article provenant de la source Heldermann Verlag
We consider tensor products of unitary representations by irreducible non-unitary finite dimensional representations of topological groups to define a property that is a strengthening of Kazhdan's Property (T). We use the uniform decay of the matrix coefficients of unitary representations, to show that for most of the real semi-simple Lie groups having Kazhdan's Property (T), any finite dimensional irreducible representation $\rho$ of $G$, is isolated among representations of the form $\rho\otimes\pi$, where $\pi$ ranges over the irreducible unitary representations, in a sense to be made precise.
Classification :
22D10, 22D12, 22E46
Mots-clés : Unitary representation, matrix coefficients, K-types
Mots-clés : Unitary representation, matrix coefficients, K-types
Affiliations des auteurs :
Maria-Paula Gomez-Aparicio 1
Maria-Paula Gomez-Aparicio. Sur la Propriété (T) Tordue par un Produit Tensoriel. Journal of Lie Theory, Tome 17 (2007) no. 3, pp. 505-524. http://geodesic.mathdoc.fr/item/JOLT_2007_17_3_a3/
@article{JOLT_2007_17_3_a3,
author = {Maria-Paula Gomez-Aparicio},
title = {Sur la {Propri\'et\'e} {(T)} {Tordue} par un {Produit} {Tensoriel}},
journal = {Journal of Lie Theory},
pages = {505--524},
year = {2007},
volume = {17},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JOLT_2007_17_3_a3/}
}