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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2013.
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| Colección: | Cambridge tracts in mathematics ;
197. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | "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"-- |
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| Descripción Física: | 1 online resource (xiii, 343 pages) : illustrations |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9781139844468 1139844466 052176226X 9780521762267 9781139842105 9781139045391 1139045393 1139842102 1283746565 9781283746564 9781139853552 1139853554 1107233208 9781107233201 1139845594 9781139845595 1139839721 9781139839723 1139840916 9781139840910 |