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Induced representations of locally c...

Kaniuth, Eberhard.

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Induced representations of locally compact groups /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Induced representations of locally compact groups // Eberhard Kaniuth, Keith F. Taylor.
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 ;24 cm.
標題:	Locally compact groups. -
電子資源:	http://assets.cambridge.org/97805217/62267/cover/9780521762267.jpg
ISBN:	9780521762267 (hbk.) :

Induced representations of locally compact groups /
Kaniuth, Eberhard.

Induced representations of locally compact groups /Eberhard Kaniuth, Keith F. Taylor. - Cambridge :Cambridge University Press,2013. - xiii, 343 p. :ill ;24 cm. - Cambridge tracts in mathematics ;197.

Includes bibliographical references (p. 333-339) and index.

Basics --

"Locally compact groups arise in many diverse areas of mathematics, the physical sciences, and engineering and the presence of the group is usually felt through unitary representations of the group. This observation underlies the importance of understanding such representations and how they may be constructed, combined, or decomposed. Of particular importance are the irreducible unitary representations. In the middle of the last century, G.W. Mackey initiated a program to develop a systematic method for identifying all the irreducible unitary representations of a given locally compact group G. We denote the set of all unitary equivalence classes of irreducible unitary representations of G by G. Mackey’s methods are only effective when G has certain restrictive structural characteristics; nevertheless, time has shown that many of the groups that arise in important problems are appropriate for Mackey’s approach. The program Mackey initiated received contributions from many researchers with some of the most substantial advances made by R.J. Blattner and J.M.G. Fell. Fell’swork is particularly important in studying Gas a topological space. At the core of this program is the inducing construction, which is a method of building a unitary representation of a group from a representation of a subgroup"--

ISBN: 9780521762267 (hbk.) :US85.00

LCCN: 2012027124Subjects--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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245 1 0 $a Induced representations of locally compact groups / $c Eberhard Kaniuth, Keith F. Taylor.
260 # $a Cambridge : $b Cambridge University Press, $c 2013.
300 $a xiii, 343 p. : $b ill ; $c 24 cm.
490 1 0 $a Cambridge tracts in mathematics ; $v 197
504 $a Includes bibliographical references (p. 333-339) and index.
505 0 # $t Basics -- $t Induced representations -- $t The imprimitivity theorem -- $t Mackey analysis -- $t Topologies on dual spaces -- $t Topological Frobenius properties -- $t Further applications.
520 # $a "Locally compact groups arise in many diverse areas of mathematics, the physical sciences, and engineering and the presence of the group is usually felt through unitary representations of the group. This observation underlies the importance of understanding such representations and how they may be constructed, combined, or decomposed. Of particular importance are the irreducible unitary representations. In the middle of the last century, G.W. Mackey initiated a program to develop a systematic method for identifying all the irreducible unitary representations of a given locally compact group G. We denote the set of all unitary equivalence classes of irreducible unitary representations of G by G. Mackey’s methods are only effective when G has certain restrictive structural characteristics; nevertheless, time has shown that many of the groups that arise in important problems are appropriate for Mackey’s approach. The program Mackey initiated received contributions from many researchers with some of the most substantial advances made by R.J. Blattner and J.M.G. Fell. Fell’swork is particularly important in studying Gas a topological space. At the core of this program is the inducing construction, which is a method of building a unitary representation of a group from a representation of a subgroup"-- $c Provided by publisher.
650 # 0 $a Locally compact groups. $3 606424
650 # 0 $a Representations of groups. $3 519598
650 # 0 $a Topological spaces. $3 523744
700 1 # $a Taylor, Keith F., $d 1950- $3 1959030
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