Theory of Lie Groups (PMS-8), Volume 8
By (Author) Claude Chevalley
Princeton University Press
Princeton University Press
21st March 2000
United States
Professional and Scholarly
Non Fiction
Algebra
512.55
Paperback
232
Width 152mm, Height 229mm
312g
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.
"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
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.