Lie groups
By: J.J. Duistermaat, J.A.C. Kolk.
Contributors: Kolk, Johan A. C., 1947-
Series: Universitext
Publisher: Springer
Published: 2000
Place of publication: Berlin; New York
Language: eng
Number of pages: 344
Subjects: Lie groups
Description: 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.
Notes: Includes bibliographical references and index.