1. Semisimple Lie algebras; 2. Affine Lie algebras; 3. WZW theories; 4. Quantum groups; 5. Duality, fusion rules, and modular invariance; Bibliography; Index.
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.
'I can recommend it unreservedly as an introduction, but also as a review for experts.' Physikalishe Blatter '... a very valuable book ... of interest to mathematicians and physicists working in the areas of conformal field theory, representation theory of infinite-dimensional Lie algebras and vertex operator algebras.' Drazen Adomovic, Zentralblatt fur Mathematik
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