Representation theory and harmonic analysis of wreath products of finite groups /
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| Author / Creator: | Ceccherini-Silberstein, Tullio, author. |
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| Imprint: | Cambridge, United Kingdom ; New York : Cambridge University Press, 2014. |
| Description: | ix, 163 pages : illustrations ; 23 cm. |
| Language: | English |
| Series: | London Mathematical Society lecture notes series ; 410 London Mathematical Society lecture note series ; 410. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/9978971 |
| 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. |
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| Physical Description: | ix, 163 pages : illustrations ; 23 cm. |
| Bibliography: | Includes bibliographical references (pages 157-160) and index. |
| ISBN: | 9781107627857 1107627850 |