Induced representations of locally compact groups
"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...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge ; New York :
Cambridge University Press,
2013.
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| Series: | Cambridge tracts in mathematics ;
197 |
| Subjects: | |
| Online Access: | An electronic book accessible through the World Wide Web; click to view |
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| 007 | cr cn||||||||| | ||
| 008 | 120904s2013 enka sb 001 0 eng d | ||
| 010 | |z 2012027124 | ||
| 020 | |z 9780521762267 (hardback) | ||
| 020 | |z 9781139844468 (e-book) | ||
| 040 | |a CaPaEBR |c CaPaEBR | ||
| 035 | |a (OCoLC)823743452 | ||
| 050 | 1 | 4 | |a QA387 |b .K356 2013eb |
| 082 | 0 | 4 | |a 512/.25 |2 23 |
| 100 | 1 | |a Kaniuth, Eberhard. | |
| 245 | 1 | 0 | |a Induced representations of locally compact groups |h [electronic resource] / |c Eberhard Kaniuth, Keith F. Taylor. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2013. | ||
| 300 | |a xiii, 343 p. : |b ill. | ||
| 440 | 0 | |a Cambridge tracts in mathematics ; |v 197 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 8 | |a 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. | |
| 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. | ||
| 533 | |a Electronic reproduction. |b Palo Alto, Calif. : |c ebrary, |d 2011. |n Available via World Wide Web. |n Access may be limited to ebrary affiliated libraries. | ||
| 650 | 0 | |a Locally compact groups. | |
| 650 | 0 | |a Topological spaces. | |
| 650 | 0 | |a Representations of groups. | |
| 650 | 0 | |a Mathematical analysis. | |
| 655 | 7 | |a Electronic books. |2 local | |
| 700 | 1 | |a Taylor, Keith F., |d 1950- | |
| 710 | 2 | |a ebrary, Inc. | |
| 856 | 4 | 0 | |u http://site.ebrary.com/lib/daystar/Doc?id=10621697 |z An electronic book accessible through the World Wide Web; click to view |
| 999 | |c 197406 |d 197406 | ||