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Lie Groups and Lie Algebras I : Lie Groups and Lie Algebras I Foundations of Lie Theory: Lie Groups of Transformations v. 1 - V.V. Gorbatsevich

Lie Groups and Lie Algebras I

Lie Groups and Lie Algebras I Foundations of Lie Theory: Lie Groups of Transformations v. 1

Hardcover

Published: 1st March 1993
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The book by Gorbatsevich, Onishchik and Vinberg is the firstin a series of volumes devoted to the theory of Lie groupsand Lie algebras.The first part of the book deals with the foundations of thetheory based on the classical global approach of Chevalleyfollowed by an exposition of the alternative approach viathe universal algebra and the Campbell-Hausdorff formula. Italso contains a survey of certain generalizations of Liegroups.The second more advanced part treats the topic of Lietransformation groups covering e.g. properties of orbits andstabilizers, homogeneous fibre bundles, Frobenius duality,groups ofautomorphisms of geometric structures, Liealgebras of vector fields and theexistence of slices. Thework of the last decades including the most recentresearch results is covered.The book contains numerous examples and describesconnections with topology, differential geometry, analysisand applications. It will be of great interest to graduatestudents and researchers in mathematics and theoreticalphysics.

Foundations of Lie Theory
Lie Groups of Transformations
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540186977
ISBN-10: 3540186972
Series: Encyclopaedia of Mathematical Sciences
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 238
Published: 1st March 1993
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 1.27
Weight (kg): 0.54