Affine Lie Algebras and Quantum Groups: An Introduction, with Applications in Conformal Field Theory
Jürgen Fuchs
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.
Категории:
Година:
1992
Издание:
1st
Издателство:
Cambridge University Press
Език:
english
Страници:
448
ISBN 10:
052148412X
ISBN 13:
9780521484121
Серия:
Cambridge Monographs on Mathematical Physics
Файл:
DJVU, 11.69 MB
IPFS:
,
english, 1992