Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

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Tullio Ceccherini-Silberstein (Università degli Studi del Sannio, Italy) Fabio Scarabotti (Università degli Studi di Roma 'La Sapienza', Italy)

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

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)

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English

Cambridge University Press
16 January 2014

Algebra; Groups & group theory; Real analysis, real variables; Complex analysis, complex variables; Numerical analysis

Series: London Mathematical Society Lecture Note Series

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.

By: 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)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 410
Dimensions: Height: 228mm, Width: 152mm, Spine: 10mm
Weight: 270g
ISBN: 9781107627857
ISBN 10: 1107627850
Series: London Mathematical Society Lecture Note Series
Pages: 176
Publication Date: 16 January 2014
Audience: Professional and scholarly , Professional and scholarly , Undergraduate , Undergraduate
Format: Paperback
Publisher's Status: Active

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.