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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

Tolli, Filippo
Ceccherini-Silberstein, Tullio
Scarabotti, Fabio

Paperback

Series: London Mathematical Society Lecture Note, Book 410

AlgebraGeneral Mathematics

ISBN10: 1107627850
ISBN13: 9781107627857
Publisher: Cambridge University Press
Published: Jan 16 2014
Pages: 176
Weight: 0.55
Height: 0.50 Width: 6.00 Depth: 8.90
Language: English
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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