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ceccherini-silberstein tullio; scarabotti fabio; tolli filippo - representation theory and harmonic analysis of wreath products of finite groups

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

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Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 01/2014





Note Editore

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.




Sommario

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




Autore

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.










Altre Informazioni

ISBN:

9781107627857

Condizione: Nuovo
Collana: London Mathematical Society Lecture Note Series
Dimensioni: 226 x 13 x 152 mm Ø 240 gr
Formato: Brossura
Illustration Notes:5 b/w illus. 2 tables 18 exercises
Pagine Arabe: 176


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