Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups
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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.
Publisher Name | Cambridge University Press |
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Author Name | Hagendorf, Col |
Format | Audio |
Bisac Subject Major | MAT |
Language | NG |
Isbn 10 | 1107627850 |
Isbn 13 | 9781107627857 |
Target Age Group | min:NA, max:NA |
Series | 000392949410 |
Dimensions | 00.89" H x 00.06" L x 00.00" W |
Page Count | 176 |
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