Look Inside Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

Part of London Mathematical Society Lecture Note Series

Authors:
Tullio Ceccherini-Silberstein, Università degli Studi del Sannio, Italy
Fabio Scarabotti, Università degli Studi di Roma 'La Sapienza', Italy
Filippo Tolli, Università degli Studi Roma Tre

Date Published: January 2014
availability: Available
format: Paperback
isbn: 9781107627857

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Description

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.