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.
- A self-contained treatment of the topic, complete with examples and exercises, suitable for graduate students
- The authors present an original approach to the subject using harmonic analysis
- The text contains recent results concerning Gelfand pairs, some of which appear in book form for the first time
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Product details
- Date Published: January 2014
- format: Paperback
- isbn: 9781107627857
- length: 176 pages
- dimensions: 228 x 152 x 10 mm
- weight: 0.27kg
- contains: 5 b/w illus. 2 tables 18 exercises
- availability: Available
Table of Contents
Preface
1. General theory
2. Wreath products of finite groups
3. Harmonic analysis on finite wreath products
Bibliography
Index.
Look Inside
Authors
Tullio Ceccherini-Silberstein, Università degli Studi del Sannio, Italy
Tullio Ceccherini-Silberstein is a Professor at the Università del Sannio, Italy.
Fabio Scarabotti, Università degli Studi di Roma 'La Sapienza', Italy
Fabio Scarabotti is a Professor at Sapienza Università di Roma, Italy.
Filippo Tolli, Università degli Studi Roma Tre
Filippo Tolli is a Professor at Università Roma Tre, Italy.