Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups EPUB
by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
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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.
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- Format:EPUB
- Publisher:Cambridge University Press
- Publication Date:16/01/2014
- Category:
- ISBN:9781107721241
Information
-
Download Now
- Format:EPUB
- Publisher:Cambridge University Press
- Publication Date:16/01/2014
- Category:
- ISBN:9781107721241