Theory of Lie Groups

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Author(s): Claude Chevalley
Genre: Science
Original Publish Date: Mar 30, 2018
Product Number: EB00794980
Released: Dec 04, 2019
Business Term: Purchase
ISBN: #9780486829661
Publisher: Dover Publications
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Description

"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 andconcludes with an exploration of compact Lie groups and their representations.

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