LMS: 25 Lie Groups & Compact Groups - Brossura

Price, John F.

Brossura

ISBN 10: 0521213401 ISBN 13: 9780521213400

Casa editrice: Cambridge University Press, 2008

Riassunto

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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Descrizione del libro

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.

Contenuti

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.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2008
• ISBN 10: 0521213401
• ISBN 13: 9780521213400
• Rilegatura: Copertina flessibile
• Numero di pagine: 188