Representation Theory and Harmonic Analysi... - MEOVERSA

Cover: 9781107627857 | Representation Theory and Harmonic Analysis of Wreath Products of...

Rückseite: 9781107627857 | Representation Theory and Harmonic Analysis of Wreath Products of...

Cover: 9781107627857 | Representation Theory and Harmonic Analysis of Wreath Products of...

Rückseite: 9781107627857 | Representation Theory and Harmonic Analysis of Wreath Products of...

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Sprache: Englisch

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Beschreibung

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.

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.

Über den Autor

Tullio Ceccherini-Silberstein is a Professor at the Università del Sannio, Italy.

Inhaltsverzeichnis

Preface; 1. General theory; 2. Wreath products of finite groups; 3. Harmonic analysis on finite wreath products; Bibliography; Index.

Details

Erscheinungsjahr:	2014
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
ISBN-13:	9781107627857
ISBN-10:	1107627850
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Ceccherini-Silberstein, Tullio Scarabotti, Fabio Tolli, Filippo
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	229 x 152 x 10 mm
Von/Mit:	Tullio Ceccherini-Silberstein (u. a.)
Erscheinungsdatum:	02.07.2014
Gewicht:	0,265 kg

Artikel-ID: 105635595

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