Principal Structures and Methods of Representation Theory

D. Zhelobenko - Collection Translations of Mathematical Monographs

448 pages, parution le 26/01/2006

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Résumé

The main topic of this book can be described as the theory of algebraic and topological structures admitting natural representations by operators in vector spaces. These structures include topological algebras, Lie algebras, topological groups, and Lie groups.

The book is divided into three parts. Part I surveys general facts for beginners, including linear algebra and functional analysis. Part II considers associative algebras, Lie algebras, topological groups, and Lie groups, along with some aspects of ring theory and the theory of algebraic groups. The author provides a detailed account of classical results in related branches of mathematics, such as invariant integration and Lie's theory of connections between Lie groups and Lie algebras. Part III discusses semisimple Lie algebras and Lie groups, Banach algebras, and quantum groups.

This is a useful text for a wide range of specialists, including graduate students and researchers working in mathematical physics and specialists interested in modern representation theory. It is suitable for independent study or supplementary reading.

Also available from the AMS by this acclaimed author is Compact Lie Groups and Their Representations.

Sommaire

Introduction
General theory
Special topics

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Caractéristiques techniques

	PAPIER
Éditeur(s)	American Mathematical Society (AMS)
Auteur(s)	D. Zhelobenko
Collection	Translations of Mathematical Monographs
Parution	26/01/2006
Nb. de pages	448
Format	18 x 26
Couverture	Relié
Poids	948g
Intérieur	Noir et Blanc
EAN13	9780821837313
ISBN13	978-0-8218-3731-3