| Description |
1 online resource. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Cambridge tracts in mathematics ; 197
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Cambridge tracts in mathematics ; 197.
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| 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 |
Includes bibliographical references and index. |
| Contents |
1. Basics; 2. Induced representations; 3. The imprimitivity theorem; 4. Mackey analysis; 5. Topologies on dual spaces; 6. Topological Frobenius properties; 7. Further applications. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Locally compact groups.
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Locally compact groups. |
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Topological spaces.
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Topological spaces. |
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Representations of groups.
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Representations of groups. |
| Genre/Form |
Electronic books.
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| Added Author |
Taylor, Keith F., 1950-
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| Other Form: |
Print version: Kaniuth, Eberhard. Induced representations of locally compact groups. New York : Cambridge University Press, 2013 9780521762267 (DLC) 2012027124 (OCoLC)794037161 |
| ISBN |
9781139839723 (electronic book) |
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1139839721 (electronic book) |
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9781139045391 (electronic book) |
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1139045393 (electronic book) |
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9780521762267 |
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052176226X |
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