Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups PDF
by Tullio (Universita degli Studi del Sannio, Italy) Ceccherini-Silberstein, Fabio (Universita degli Studi di Roma 'La Sapienza', Italy) Scarabotti, Filippo (Universita degli Studi Roma Tre) Tolli
Part of the London Mathematical Society Lecture Note Series series
- Information
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
-
Download Now
- Format:PDF
- Pages:Worked examples or Exercises; 2 Tables, black and white; 5 Line drawings, unspecified
- Publisher:Cambridge University Press
- Publication Date:31/12/2013
- Category:
- ISBN:9781107723535
Information
-
Download Now
- Format:PDF
- Pages:Worked examples or Exercises; 2 Tables, black and white; 5 Line drawings, unspecified
- Publisher:Cambridge University Press
- Publication Date:31/12/2013
- Category:
- ISBN:9781107723535