Non-Fiction Books:

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

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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.

Author Biography:

Tullio Ceccherini-Silberstein is a Professor at the Università del Sannio, Italy. Fabio Scarabotti is a Professor at Sapienza Università di Roma, Italy. Filippo Tolli is a Professor at Università Roma Tre, Italy.
Release date Australia
January 16th, 2014
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises; 2 Tables, black and white; 5 Line drawings, unspecified
Pages
176
Dimensions
152x228x10
ISBN-13
9781107627857
Product ID
21486004

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