Overview

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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Author:   Tullio Ceccherini-Silberstein (Università degli Studi del Sannio, Italy) ,  Fabio Scarabotti (Università degli Studi di Roma 'La Sapienza', Italy) ,  Filippo Tolli (Università degli Studi Roma Tre)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Volume:   410
Dimensions:   Width: 15.20cm , Height: 1.00cm , Length: 22.80cm
Weight:   0.270kg
ISBN:  

9781107627857

ISBN 10:   1107627850
Pages:   176
Publication Date:   16 January 2014
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

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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.

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