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Induced representations of locally c...

Taylor, Keith F., (1950-)

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Induced representations of locally compact groups

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Induced representations of locally compact groups/ Eberhard Kaniuth, University of Paderborn, Germany, Keith F. Taylor, Dalhousie University, Nova Scotia.
作者:	Kaniuth, Eberhard.
其他作者:	Taylor, Keith F.,
出版者:	Cambridge :Cambridge University Press, : 2013.,
面頁冊數:	xiii, 343 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	Basics -- Induced representations -- The imprimitivity theorem -- Mackey analysis -- Topologies on dual spaces -- Topological Frobenius properties -- Further applications.
標題:	Locally compact groups. -
電子資源:	https://doi.org/10.1017/CBO9781139045391
ISBN:	9781139045391

Induced representations of locally compact groups
Kaniuth, Eberhard.

Induced representations of locally compact groups[electronic resource] /Eberhard Kaniuth, University of Paderborn, Germany, Keith F. Taylor, Dalhousie University, Nova Scotia. - Cambridge :Cambridge University Press,2013. - xiii, 343 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;197. - Cambridge tracts in mathematics ;197..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Basics -- Induced representations -- The imprimitivity theorem -- Mackey analysis -- Topologies on dual spaces -- Topological Frobenius properties -- Further applications.

The dual space of a locally compact group G consists of the equivalence classes of irreducible unitary representations of G. This book provides a comprehensive guide to the theory of induced representations and explains its use in describing the dual spaces for important classes of groups. It introduces various induction constructions and proves the core theorems on induced representations, including the fundamental imprimitivity theorem of Mackey and Blattner. An extensive introduction to Mackey analysis is applied to compute dual spaces for a wide variety of examples. Fell's contributions to understanding the natural topology on the dual are also presented. In the final two chapters, the theory is applied in a variety of settings including topological Frobenius properties and continuous wavelet transforms. This book will be useful to graduate students seeking to enter the area as well as experts who need the theory of unitary group representations in their research.

ISBN: 9781139045391Subjects--Topical Terms:

606424
Locally compact groups.

LC Class. No.: QA387 / .K356 2013

Dewey Class. No.: 512.25

Induced representations of locally compact groups
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505 0 $a Basics -- Induced representations -- The imprimitivity theorem -- Mackey analysis -- Topologies on dual spaces -- Topological Frobenius properties -- Further applications.
520 $a The dual space of a locally compact group G consists of the equivalence classes of irreducible unitary representations of G. This book provides a comprehensive guide to the theory of induced representations and explains its use in describing the dual spaces for important classes of groups. It introduces various induction constructions and proves the core theorems on induced representations, including the fundamental imprimitivity theorem of Mackey and Blattner. An extensive introduction to Mackey analysis is applied to compute dual spaces for a wide variety of examples. Fell's contributions to understanding the natural topology on the dual are also presented. In the final two chapters, the theory is applied in a variety of settings including topological Frobenius properties and continuous wavelet transforms. This book will be useful to graduate students seeking to enter the area as well as experts who need the theory of unitary group representations in their research.
650 0 $a Locally compact groups. $3 606424
650 0 $a Topological spaces. $3 523744
650 0 $a Representations of groups. $3 519598
700 1 $a Taylor, Keith F., $d 1950- $3 1959030
830 0 $a Cambridge tracts in mathematics ; $v 197. $3 3470540
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