Induced representations of locally compact groups
 Author/Creator
 Kaniuth, Eberhard.
 Language
 English.
 Publication
 Cambridge ; New York : Cambridge University Press, 2013.
 Physical description
 xiii, 343 pages ; 24 cm
 Series
 Cambridge tracts in mathematics ; 197.
Access
Available online

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QA387 .K356 2013

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QA387 .K356 2013
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Contributors
 Contributor
 Taylor, Keith F., 1950
Contents/Summary
 Bibliography
 Includes bibliographical references (pages 333339) and index.
 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.
 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.
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Bibliographic information
 Publication date
 2013
 Responsibility
 Eberhard Kaniuth, University of Paderborn, Germany, Keith F. Taylor, Dalhousie University, Nova Scotia.
 Series
 Cambridge tracts in mathematics ; 197
 ISBN
 9780521762267
 052176226X