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Theory of Lie Groups (PMS-8), Volume 8

Paperback / softback

Main Details

Title Theory of Lie Groups (PMS-8), Volume 8
Authors and Contributors      By (author) Claude Chevalley
SeriesPrinceton Landmarks in Mathematics and Physics
Physical Properties
Format:Paperback / softback
Pages:232
Dimensions(mm): Height 229,Width 152
Category/GenreAlgebra
ISBN/Barcode 9780691049908
ClassificationsDewey:512.55
Audience
Professional & Vocational
Tertiary Education (US: College)

Publishing Details

Publisher Princeton University Press
Imprint Princeton University Press
Publication Date 10 January 2000
Publication Country United States

Description

A treatise on Lie groups in which a modern point of view was adopted systematically, namely, that a continuous group can be regarded as a global object. This book incorporates a broad range of topics, such as the covering spaces of topological spaces, analytic manifolds, and integration of complete systems of differential equations on a manifold.

Author Biography

Claude Chevalley (1909-1984) served on the faculty of Princeton University and was resident at the Institute for Advanced Study. He was a member of the Bourbaki and was awarded the Cole Prize of the American Mathematical Society.

Reviews

"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