Affine Lie Algebras and Quantum Groups
Affine Lie Algebras and Quantum Groups
$98.99
USDThis is an introduction to the theory of affine Lie algebras and to the theory of quantum groups. It is unique in discussing these two subjects in a unified manner, which is made possible by discussing their respective applications in conformal field theory. The description of affine algebras covers the classification problem, the connection with loop algebras, and representation theory including modular properties. The necessary background from the theory of semisimple Lie algebras is also provided. The discussion of quantum groups concentrates on deformed enveloping algebras and their representation theory, but other aspects such as R-matrices and matrix quantum groups are also dealt with.
- Unified treatment
- Necessary background information provided
- Distinguished author and series
Reviews & endorsements
"Clearly written; mathematical development is handled with wonderful care." The American Mathematical Monthly
"...serves well as an introduction to these ideas and as a stimulus to further research and communication between mathematicians and physicists." Alex Jay Feingold, Mathematical Reviews
Product details
May 1995Paperback
9780521484121
448 pages
246 × 174 × 25 mm
0.777kg
40 b/w illus.
Available
Table of Contents
- 1. Semisimple Lie algebras
- 2. Affine Lie algebras
- 3. WZW theories
- 4. Quantum groups
- 5. Duality, fusion rules, and modular invariance
- Bibliography
- Index.
