Representations of Lie algebras : an introduction through gln̳ /
"This bold and refreshing approach to Lie algebras assumes only modest prerequisites (linear algebra up to the Jordan canonical form and a basic familiarity with groups and rings), yet it reaches a major result in representation theory: the highest-weight classification of irreducible modules o...
| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Cambridge, UK ; New York :
Cambridge University Press,
©2012, 2012.
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| Series: | Australian Mathematical Society lecture series ;
22. |
| Subjects: | |
| Online Access: | Cover image |
Table of Contents:
- 1. Motivation: representations of Lie groups
- 2. Definition of a Lie algebra
- 3. Basic structure of a Lie algebra
- 4. Modules over a Lie algebra
- 5. The theory of sl₂-modules
- 6. General theory of modules
- 7. Integral gln̳-modules
- 8. Guide to further reading
- Appendix: solutions to the exercises.