The theory of Lie groups is a very active part of mathematics and it is the twofold aim of these notes to provide a self-contained introduction to the subject and to make results about the structure of Lie groups and compact groups available to a wide audience. Particular emphasis is placed upon results and techniques which explicate the interplay between a Lie group and its Lie algebra, and, in keeping with current trends, a coordinate-free notation is used. Much of the general theory is illustrated by examples and exercises involving specific Lie groups.
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- Date Published: June 1977
- format: Paperback
- isbn: 9780521213400
- length: 188 pages
- dimensions: 229 x 152 x 11 mm
- weight: 0.28kg
- availability: Available
Table of Contents
1. Analytic manifolds
2. Lie groups and Lie algebras
3. The Campbell-Baker-Hausdorff formula
4. The geometry of Lie groups
5 Lie subgroups and subalgebras
6. Characterizations and structure of compact Lie groups.
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