Lie groups, Lie algebras, and representations an elementary introduction
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| Main Author: | |
|---|---|
| Language: | English |
| Edition: | Second edition. |
| Series: | Graduate texts in mathematics ;
222. |
| Subjects: | |
| Online Access: | Link to e-book |
| Physical Description: | 1 online resource (xii, 449 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| Published: |
Cham :
Springer,
2015.
|
| ISBN: | 9783319134673 3319134671 |
| Access: | License restrictions may limit access. |
Table of Contents:
- Part I: General Theory.-Matrix Lie Groups
- The Matrix Exponential
- Lie Algebras
- Basic Representation Theory
- The Baker?Campbell?Hausdorff Formula and its Consequences
- Part II: Semisimple Lie Algebras
- The Representations of sl(3;C).-Semisimple Lie Algebras.- Root Systems
- Representations of Semisimple Lie Algebras
- Further Properties of the Representations
- Part III: Compact lie Groups
- Compact Lie Groups and Maximal Tori
- The Compact Group Approach to Representation Theory
- Fundamental Groups of Compact Lie Groups
- Appendices.