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Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups
Tullio Ceccherini-SilbersteinFabio ScarabottiFilippo Tolli
出版Cambridge University Press, 2014-01-16
主題Mathematics / Algebra / AbstractMathematics / Algebra / GeneralMathematics / Mathematical AnalysisMathematics / Complex AnalysisMathematics / Numerical AnalysisMathematics / Group TheoryMathematics / General
ISBN11077299129781107729919
URLhttp://books.google.com.hk/books?id=S9PUAgAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.