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.
Les mer
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.
Les mer
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.

Produktdetaljer

ISBN
9780521213400
Publisert
1977-06-02
Utgiver
Cambridge University Press
Vekt
550 gr
Høyde
228 mm
Bredde
152 mm
Dybde
22 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
188

Forfatter