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Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

$62.95

Part of London Mathematical Society Lecture Note Series

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

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About the Authors
  • 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: 226 x 152 x 13 mm
    • weight: 0.24kg
    • 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.

  • 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.

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