Affine Lie algebras and quantum groups : an introduction, with applications in conformal field theory
著者
書誌事項
Affine Lie algebras and quantum groups : an introduction, with applications in conformal field theory
（Cambridge monographs on mathematical physics）
Cambridge University Press, 1995, c1992
- : pbk
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注記
First published 1992. First paperback ed. (with corrections) 1995
Bibliographical references: p. 405-427
Includes index
内容説明・目次
内容説明
This is an introduction to the theory of affine Lie algebras, to the theory of quantum groups, and to the interrelationships between these two fields that are encountered 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. This book will be of interest to researchers and graduate students in theoretical physics and applied mathematics.
目次
- 1. Semisimple Lie algebras
- 2. Affine Lie algebras
- 3. WZW theories
- 4. Quantum groups
- 5. Duality, fusion rules, and modular invariance
- Bibliography
- Index.
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