**Author**: Tullio Ceccherini-Silberstein

**Publisher:**Cambridge University Press

**ISBN:**1107627850

**Size**: 20.32 MB

**Format:**PDF, Mobi

**Category :**Mathematics

**Languages :**en

**Pages :**176

**View:**3572

## Representation Theory And Harmonic Analysis Of Wreath Products Of Finite Groups

by Tullio Ceccherini-Silberstein, Representation Theory And Harmonic Analysis Of Wreath Products Of Finite Groups Books available in PDF, EPUB, Mobi Format. Download**Representation Theory And Harmonic Analysis Of Wreath Products Of Finite Groups books**, 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.