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عنوان
Induced representations of locally compact groups /

پدید آورنده
Eberhard Kaniuth, University of Paderborn, Germany, Keith F. Taylor, Dalhousie University, Nova Scotia

موضوع
Locally compact groups,Representations of groups,Topological spaces

رده
QA387
.
K356
2013

کتابخانه
Center and Library of Islamic Studies in European Languages

محل استقرار
استان: Qom ـ شهر: Qom

Center and Library of Islamic Studies in European Languages

تماس با کتابخانه : 32910706-025

INTERNATIONAL STANDARD BOOK NUMBER

(Number (ISBN
052176226X (hardback)
(Number (ISBN
9780521762267 (hardback)

NATIONAL BIBLIOGRAPHY NUMBER

Number
dltt

TITLE AND STATEMENT OF RESPONSIBILITY

Title Proper
Induced representations of locally compact groups /
General Material Designation
[Book]
First Statement of Responsibility
Eberhard Kaniuth, University of Paderborn, Germany, Keith F. Taylor, Dalhousie University, Nova Scotia

PHYSICAL DESCRIPTION

Specific Material Designation and Extent of Item
xiii, 343 pages ;
Dimensions
24 cm

SERIES

Series Title
Cambridge tracts in mathematics ;
Volume Designation
197

INTERNAL BIBLIOGRAPHIES/INDEXES NOTE

Text of Note
Includes bibliographical references (pages 333-339) and index

CONTENTS NOTE

Text of Note
Basics -- Induced representations -- The imprimitivity theorem -- Mackey analysis -- Topologies on dual spaces -- Topological Frobenius properties -- Further applications
0

SUMMARY OR ABSTRACT

Text of Note
"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"--

TOPICAL NAME USED AS SUBJECT

Locally compact groups
Representations of groups
Topological spaces

DEWEY DECIMAL CLASSIFICATION

Number
512/
.
25
Edition
23

LIBRARY OF CONGRESS CLASSIFICATION

Class number
QA387
Book number
.
K356
2013

PERSONAL NAME - PRIMARY RESPONSIBILITY

Kaniuth, Eberhard

PERSONAL NAME - ALTERNATIVE RESPONSIBILITY

Taylor, Keith F.,1950-

ORIGINATING SOURCE

Date of Transaction
20141128192512.0
Cataloguing Rules (Descriptive Conventions))
rda

ELECTRONIC LOCATION AND ACCESS

Electronic name
 مطالعه متن کتاب 

[Book]

Y

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