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Product Identifiers
PublisherDover Publications, Incorporated
ISBN-100486824535
ISBN-139780486824536
eBay Product ID (ePID)239674374
Product Key Features
Number of Pages224 Pages
LanguageEnglish
Publication NameTheory of Lie Groups
Publication Year2018
SubjectGroup Theory, Algebra / Abstract
TypeTextbook
Subject AreaMathematics
AuthorClaude Chevalley
SeriesDover Books on Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Weight10.4 Oz
Item Length9 in
Item Width6 in
Additional Product Features
Intended AudienceTrade
LCCN2017-046119
Dewey Edition23
Dewey Decimal512/.482
Table Of ContentTable of Contents: Introduction I. The Classical Linear Groups II. Topological Groups III. Manifolds IV. Analytic Groups. Lie Groups V. The Differential Calculus of Cartan VI. Compact Lie Groups and Their Representations Index.
Synopsis"Chevalley's most important contribution to mathematics is certainly his work on group theory. . . . [ Theory of Lie Groups ] was the first systematic exposition of the foundations of Lie group theory consistently adopting the global viewpoint, based on the notion of analytic manifold. This book remained the basic reference on Lie groups for at least two decades." -- Bulletin of the American Mathematical Society Suitable for advanced undergraduate and graduate students of mathematics, this enduringly relevant text introduces the main basic principles that govern the theory of Lie groups. The treatment opens with an overview of the classical linear groups and of topological groups, focusing on the theory of covering spaces and groups, which is developed independently from the theory of paths. Succeeding chapters contain an examination of the theory of analytic manifolds as well as a combination of the notions of topological group and manifold that defines analytic and Lie groups. An exposition of the differential calculus of Cartan follows and concludes with an exploration of compact Lie groups and their representations., Chevalley's most important contribution to mathematics is certainly his work on group theory. . . . [ Theory of Lie Groups ] was the first systematic exposition of the foundations of Lie group theory consistently adopting the global viewpoint, based on the notion of analytic manifold. This book remained the basic reference on Lie groups for at least two decades. -- Bulletin of the American Mathematical Society Suitable for advanced undergraduate and graduate students of mathematics, this enduringly relevant text introduces the main basic principles that govern the theory of Lie groups. The treatment opens with an overview of the classical linear groups and of topological groups, focusing on the theory of covering spaces and groups, which is developed independently from the theory of paths. Succeeding chapters contain an examination of the theory of analytic manifolds as well as a combination of the notions of topological group and manifold that defines analytic and Lie groups. An exposition of the differential calculus of Cartan follows and concludes with an exploration of compact Lie groups and their representations., "Chevalley's most important contribution to mathematics is certainly his work on group theory. . . . Theory of Lie Groups ] was the first systematic exposition of the foundations of Lie group theory consistently adopting the global viewpoint, based on the notion of analytic manifold. This book remained the basic reference on Lie groups for at least two decades." -- Bulletin of the American Mathematical Society Suitable for advanced undergraduate and graduate students of mathematics, this enduringly relevant text introduces the main basic principles that govern the theory of Lie groups. The treatment opens with an overview of the classical linear groups and of topological groups, focusing on the theory of covering spaces and groups, which is developed independently from the theory of paths. Succeeding chapters contain an examination of the theory of analytic manifolds as well as a combination of the notions of topological group and manifold that defines analytic and Lie groups. An exposition of the differential calculus of Cartan follows and concludes with an exploration of compact Lie groups and their representations., The standard text on the subject for many years, this introductory treatment covers classical linear groups, topological groups, manifolds, analytic groups, differential calculus of Cartan, and compact Lie groups and their representations. 1946 edition., One of the first books to approach Lie groups from the global point of view, this introductory treatment was the standard text on the subject for many years. Topics include the classical linear groups, topological groups, manifolds, analytic groups, differential calculus of Cartan, and compact Lie groups and their representations. "The basic reference on Lie groups." -- Bulletin of the American Mathematical Society.
LC Classification NumberQA387.C4613 2018
