RT Book, Whole DB /z-wcorg/ DS http://worldcat.org ID 42619683 LA English T1 Lie groups A1 Duistermaat, J. J., Kolk, Johan A. C.,, PB Springer PP Berlin; New York YR 2000 SN 3540152938 9783540152934 AB "This is a (post)graduate textbook an 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."--Jacket.