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Representation theory and harmonic analysis of wreath products of finite groups /
This book presents an introduction to the representation theory of wreath products of finite groups and harmonic analysis on the corresponding homogeneous spaces. The reader will find a detailed description of the theory of induced representations and Clifford theory, focusing on a general formulati...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2014.
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| Colección: | London Mathematical Society lecture note series ;
410. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | This book presents an introduction to the representation theory of wreath products of finite groups and harmonic analysis on the corresponding homogeneous spaces. The reader will find a detailed description of the theory of induced representations and Clifford theory, focusing on a general formulation of the little group method. This provides essential tools for the determination of all irreducible representations of wreath products of finite groups. The exposition also includes a detailed harmonic analysis of the finite lamplighter groups, the hyperoctahedral groups, and the wreath product of two symmetric groups. This relies on the generalised Johnson scheme, a new construction of finite Gelfand pairs. The exposition is completely self-contained and accessible to anyone with a basic knowledge of representation theory. Plenty of worked examples and several exercises are provided, making this volume an ideal textbook for graduate students. It also represents a useful reference for more experienced researchers. |
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| Descripción Física: | 1 online resource (xii, 163 pages) |
| Bibliografía: | Includes bibliographical references (pages 157-160) and index. |
| ISBN: | 9781107732292 1107732298 9781107279087 1107279089 1139895443 9781139895446 1107721245 9781107721241 1107730546 9781107730540 1107724171 9781107724174 1107728789 9781107728783 |