Articles liés à Unitary Representations of Groups, Duals, and Characters

Unitary Representations of Groups, Duals, and Characters - Couverture souple

Bekka, Bachir; Harpe, Pierre De La

 
9781470456276: Unitary Representations of Groups, Duals, and Characters
Couverture souple
ISBN 10 : 1470456273 ISBN 13 : 9781470456276
Editeur : American Mathematical Society, 2021

Synopsis

Unitary representations of groups play an important role in many subjects, including number theory, geometry, probability theory, partial differential equations, and quantum mechanics. This monograph focuses on dual spaces associated to a group, which are spaces of building blocks of general unitary representations. Special attention is paid to discrete groups for which the unitary dual, the most common dual space, has proven to be not useful in general and for which other duals spaces have to be considered, such as the primitive dual, the normal quasi-dual, or spaces of characters. The book offers a detailed exposition of these alternative dual spaces and covers the basic facts about unitary representations and operator algebras needed for their study. Complete and elementary proofs are provided for most of the fundamental results that up to now have been accessible only in original papers and appear here for the first time in textbook form. A special feature of this monograph is that the theory is systematically illustrated by a family of examples of discrete groups for which the various dual spaces are discussed in great detail: infinite dihedral group, Heisenberg groups, affine groups of fields, solvable Baumslag-Solitar group, lamplighter group, and general and special linear groups. The book will appeal to graduate students who wish to learn the basics facts of an important topic and provides a useful resource for researchers from a variety of areas. The only prerequisites are a basic background in group theory, measure theory, and operator algebras.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Bachir Bekka, IRMAR, Universite de Rennes 1, France, and Pierre de la Harpe, Universite de Geneve, Switerzerland

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2021
Langue
anglais
ISBN 10 
1470456273
ISBN 13 
9781470456276
Reliure
Broché
Nombre de pages
488
Coordonnées du fabricant
non disponible
Personne responsable
non disponible