Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups: 410 (London Mathematical Society Lecture Note Series, Series Number 410)
Cambridge University Press, 1/16/2014
EAN 9781107627857, ISBN10: 1107627850
Paperback, 176 pages, 22.6 x 15.2 x 1.3 cm
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.
Preface
1. General theory
2. Wreath products of finite groups
3. Harmonic analysis on finite wreath products
Bibliography
Index.