Geodesic
A Unified Proof of the Howe-Moore Property
Corina Ciobotaru1
1Université Catholique de Louvain, IRMP, Chemin du Cyclotron 2, Bte L7.01.02, 1348 Louvain-la-Neuve, Belgique
Journal of Lie Theory, Tome 25 (2015) no. 1, pp. 65-89

Voir la notice de l'article provenant de la source Heldermann Verlag

We provide a unified proof of all known examples of locally compact groups that enjoy the Howe-Moore property, namely, the vanishing at infinity of all matrix coefficients of the group's unitary representations that are without non-zero invariant vectors. These examples are: connected, non-compact, simple real Lie groups with finite center, isotropic simple algebraic groups over non Archimedean local fields and closed, topologically simple subgroups of Aut(T) that act 2-transitively on the boundary of T, where T is a bi-regular tree with valence ≥3 at every vertex.
Classification : 22D10, 20E42
Mots-clés : Unitary representations, groups acting on Euclidean buildings, the Howe-Moore property

Corina Ciobotaru  1

1 Université Catholique de Louvain, IRMP, Chemin du Cyclotron 2, Bte L7.01.02, 1348 Louvain-la-Neuve, Belgique 
Corina Ciobotaru. A Unified Proof of the Howe-Moore Property. Journal of Lie Theory, Tome 25 (2015) no. 1, pp. 65-89. http://geodesic.mathdoc.fr/item/JOLT_2015_25_1_a4/
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