Lie Groups and Compact Groups

Provides a self-contained introduction to Lie groups and makes results about the structure of Lie groups and compact groups available to a wide audience.

John F. Price (Author)

9780521213400, Cambridge University Press

Paperback, published 2 June 1977

188 pages
22.8 x 15.2 x 2.2 cm, 0.55 kg

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.

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.

Subject Areas: Mathematics [PB]