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.

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.
Reviews
'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



Book Information
ISBN 9780521484121
Author Jurgen A. Fuchs
Format Paperback
Page Count 448
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 777g
Dimensions(mm) 246mm * 174mm * 25mm