Pub. Date:
Cambridge University Press
Lie Groups and Compact Groups

Lie Groups and Compact Groups

by John F Price, N J Hitchin


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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.

Product Details

ISBN-13: 9780521213400
Publisher: Cambridge University Press
Publication date: 01/31/2008
Series: London Mathematical Society Lecture Note Series , #25
Pages: 188
Product dimensions: 5.90(w) x 8.90(h) x 0.60(d)

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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