[DOWNLOAD] "Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups" by Tullio Ceccherini-Silberstein, Fabio Scarabotti & Filippo Tolli " Book PDF Kindle ePub Free
eBook details
- Title: Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups
- Author : Tullio Ceccherini-Silberstein, Fabio Scarabotti & Filippo Tolli
- Release Date : January 31, 2013
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 16079 KB
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.