The Howe-Moore property for real and $p$-adic groups

Cluckers, Raf; de Cornulier, Yves; Louvet, Nicolas; Tessera, Romain; Valette, Alain

Document type :

Compte-rendu et recension critique d'ouvrage

Title :

The Howe-Moore property for real and $p$-adic groups

Author(s) :

Cluckers, Raf [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]
de Cornulier, Yves [Auteur]
Institut de Recherche Mathématique de Rennes [IRMAR]
Louvet, Nicolas [Auteur]
Tessera, Romain [Auteur]
Unité de Mathématiques Pures et Appliquées [UMPA-ENSL]
Valette, Alain [Auteur]

Journal title :

Mathematica Scandinavica

Pages :

201-224

Publication date :

2011

English abstract : [en]

We consider in this paper a relative version of the Howe-Moore property, about vanishing at infinity of coefficients of unitary representations.We characterize this property in terms of ergodic measure-preserving actions.We ...
Show more >We consider in this paper a relative version of the Howe-Moore property, about vanishing at infinity of coefficients of unitary representations.We characterize this property in terms of ergodic measure-preserving actions.We also characterize, for linear Lie groups or p-adic Lie groups, the pairs with the relative Howe-Moore property with respect to a closed, normal subgroup. This involves, in one direction, structural results on locally compact groups all of whose proper closed characteristic subgroups are compact, and, in the other direction, some results about the vanishing at infinity of oscillatory integrals.Show less >

Language :

Anglais

Popular science :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

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