Lie Groups and Compact Groups

Erscheinungsjahr 2008
ISBN: 978-0-521-21340-0
Verlag: Cambridge University Press

Buch, Englisch, Band 25, 188 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 282 g

Reihe: London Mathematical Society Lecture Note Series

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.

Autoren/Hrsg.

Price, John F.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein

Inhaltsverzeichnis

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.