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...
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| Main Author: | |
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| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2014
|
| Series: | London Mathematical Society lecture note series
410 |
| Links: | https://doi.org/10.1017/CBO9781107279087 |
| Summary: | 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. |
| Physical Description: | 1 Online-Ressource (xii, 163 Seiten) |
| ISBN: | 9781107279087 |
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| 245 | 1 | 0 | |a Representation theory and harmonic analysis of wreath products of finite groups |c Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli |
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| 520 | |a 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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| spelling | Ceccherini-Silberstein, Tullio Representation theory and harmonic analysis of wreath products of finite groups Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli Representation Theory & Harmonic Analysis of Wreath Products of Finite Groups Cambridge Cambridge University Press 2014 1 Online-Ressource (xii, 163 Seiten) txt c cr London Mathematical Society lecture note series 410 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. Scarabotti, Fabio Tolli, Filippo 1968- Erscheint auch als Druck-Ausgabe 9781107627857 |
| spellingShingle | Ceccherini-Silberstein, Tullio Representation theory and harmonic analysis of wreath products of finite groups |
| title | Representation theory and harmonic analysis of wreath products of finite groups |
| title_alt | Representation Theory & Harmonic Analysis of Wreath Products of Finite Groups |
| title_auth | Representation theory and harmonic analysis of wreath products of finite groups |
| title_exact_search | Representation theory and harmonic analysis of wreath products of finite groups |
| title_full | Representation theory and harmonic analysis of wreath products of finite groups Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli |
| title_fullStr | Representation theory and harmonic analysis of wreath products of finite groups Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli |
| title_full_unstemmed | Representation theory and harmonic analysis of wreath products of finite groups Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli |
| title_short | Representation theory and harmonic analysis of wreath products of finite groups |
| title_sort | representation theory and harmonic analysis of wreath products of finite groups |
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