Lie Groups |
|
| Author:
| Duistermaat, J. J.
Kolk, J. A. C. |
| Series title: | Universitext Ser. |
| ISBN: | 978-3-540-15293-4 |
| Publication Date: | Jan 2000 |
| Publisher: | Springer
|
| Book Format: | Paperback |
| List Price: | AUD $112.95 |
Book Description:
|
A (post)graduate textbook on Lie groups and Lie algebras, giving 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, and 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. A review of...
More DescriptionA (post)graduate textbook on Lie groups and Lie algebras, giving 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, and 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. A review of the required background material is provided in appendices.