Theory of Lie Groups
Theory of Lie Groups
- ISBN 13:
9780486824536
- ISBN 10:
0486824535
- Edition: Unabridged
- Format: Paperback
- Copyright: 03/21/2018
- Publisher: Dover Publications
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Summary
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.