Format:
Online-Ressource (VIII, 344p, online resource)
ISBN:
9783642569364
Series Statement:
Universitext
Content:
This book is a (post)graduate textbook on Lie groups and Lie algebras. Its aim is to give a broad introduction to the field with an emphasis on using differential-geometrical methods, in the spirit of Lie himself. The structure of compact Lie groups is analyzed in terms of the action of the group on itself by conjugation. The book culminates in the classification of the representations of compact Lie groups and in their realization as sections of holomorphic line bundles over flag manifolds. The relations with algebraic and analytic models are also discussed. A review of the required background material is provided in appendices
Additional Edition:
ISBN 9783540152934
Additional Edition:
Druckausg. Duistermaat, Johannes J., 1942 - 2010 Lie groups Berlin : Springer, 2000 ISBN 3540152938
Language:
English
Subjects:
Mathematics
Keywords:
Lie-Gruppe
;
Lie-Algebra
DOI:
10.1007/978-3-642-56936-4
URL:
Volltext
(lizenzpflichtig)
Author information:
Kolk, Johan A. C. 1947-
