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Unitary Representations Of Groups Duals And Characters Mathematical Surveys And Monographs Bachir Bekka

Name: Unitary Representations Of Groups Duals And Characters Mathematical Surveys And Monographs Bachir Bekka
SKU: BELL-51159044
Price: 31.00 USD
Availability: InStock
Rating: 4 (26 reviews)

SKU: BELL-51159044

$ 31.00 ~~$ 45.00~~ (-31%)

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Unitary Representations Of Groups Duals And Characters Mathematical Surveys And Monographs Bachir Bekka instant download after payment.

Publisher: American Mathematical Society

File Extension: PDF

File size: 2.94 MB

Pages: 484

Author: Bachir Bekka, Pierre de la Harpe

ISBN: 9781470456276, 1470456273

Language: English

Year: 2016

Product desciption

Unitary Representations Of Groups Duals And Characters Mathematical Surveys And Monographs Bachir Bekka by Bachir Bekka, Pierre De La Harpe 9781470456276, 1470456273 instant download after payment.

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.