Induced representations of locally compact groups [electronic resource] / Eberhard Kaniuth, Keith F. Taylor.
2013
QA387 .K356 2013
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Title
Induced representations of locally compact groups [electronic resource] / Eberhard Kaniuth, Keith F. Taylor.
Author
Kaniuth, Eberhard.
ISBN
9780521762267
9781139844468 (electronic book)
9781139844468 (electronic book)
Imprint
Cambridge ; New York : Cambridge University Press, 2013.
Language
English
Description
xiii, 343 p. : ill.
Call Number
QA387 .K356 2013
Dewey Decimal Classification
512/.25
Summary
"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"-- Provided by publisher.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Added Author
Taylor, Keith F., 1950-
Series
Cambridge tracts in mathematics ; 197
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Table of Contents
Machine generated contents note: 1. Basics; 2. Induced representations; 3. The imprimitivity theorem; 4. Mackey analysis; 5. Topologies on dual spaces; 6. Topological Frobenius properties; 7. Further applications.