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Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups Tullio Ceccherini-Silberstein (Universita degli Studi del Sannio, Italy)

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups By Tullio Ceccherini-Silberstein (Universita degli Studi del Sannio, Italy)

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups by Tullio Ceccherini-Silberstein (Universita degli Studi del Sannio, Italy)


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Summary

A self-contained treatment of the representation theory of wreath products of finite groups and harmonic analysis on the corresponding homogeneous spaces. The book functions as both a useful reference for researchers, and a graduate textbook with plenty of examples and several exercises.

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups Summary

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups by Tullio Ceccherini-Silberstein (Universita degli Studi del Sannio, Italy)

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.

About Tullio Ceccherini-Silberstein (Universita degli Studi del Sannio, Italy)

Tullio Ceccherini-Silberstein is a Professor at the Universita del Sannio, Italy. Fabio Scarabotti is a Professor at Sapienza Universita di Roma, Italy. Filippo Tolli is a Professor at Universita Roma Tre, Italy.

Table of Contents

Preface; 1. General theory; 2. Wreath products of finite groups; 3. Harmonic analysis on finite wreath products; Bibliography; Index.

Additional information

NLS9781107627857
9781107627857
1107627850
Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups by Tullio Ceccherini-Silberstein (Universita degli Studi del Sannio, Italy)
New
Paperback
Cambridge University Press
2014-01-16
176
N/A
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