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Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups, Paperback / softback Book

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.

Information

  • Format: Paperback / softback
  • Pages: 176 pages, Worked examples or Exercises; 2 Tables, black and white; 5 Line drawings, unspecified
  • Publisher: Cambridge University Press
  • Publication Date:
  • Category: Algebra
  • ISBN: 9781107627857

£47.99

£41.35

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