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Group theory - Wikipedia

This book is an introductory course and it could be used by mathematicians and students who would like to learn quickly about the representation theory and character theory of finite groups, and for non-algebraists, statisticians and physicists who use representation theory. Jamshid Moori, Mathematical Reviews, Issue j The required background as to this introductory course on group representations, is in the level of linear algebra, group theory and some ring theory.

This is an impressive and useful text, and should be looked at by anybody with an interest in the subject. Toon meer Toon minder. Reviews Schrijf een review.


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Representation theory and harmonic analysis of wreath products of finite groups

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    Liefhebbers van Benjamin Steinberg bekeken ook. 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.

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    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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