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Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups: London Mathematical Society Lecture Note Series, cartea 410

Autor Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
en Limba Engleză Paperback – 15 ian 2014
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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Specificații

ISBN-13: 9781107627857
ISBN-10: 1107627850
Pagini: 176
Ilustrații: 5 b/w illus. 2 tables 18 exercises
Dimensiuni: 152 x 228 x 10 mm
Greutate: 0.25 kg
Ediția:New.
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Lecture Note Series

Locul publicării:New York, United States

Cuprins

Preface; 1. General theory; 2. Wreath products of finite groups; 3. Harmonic analysis on finite wreath products; Bibliography; Index.

Notă biografică


Descriere

A self-contained introduction to the representation theory and harmonic analysis of wreath products of finite groups, with examples and exercises.