Affine Lie Algebras and Quantum Groups: An Introduction, with Applications in Conformal Field Theory (Cambridge Monographs on Mathematical Physics) - Softcover

Fuchs, Jürgen

Softcover

ISBN 10: 052148412X ISBN 13: 9780521484121

Publisher: Cambridge University Press, 1995

Synopsis

This 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.

About this title

Book Description:

This introduction to the theory of affine Lie algebras and to the theory of quantum groups succeeds in discussing the two subjects in a unified manner by covering their respective applications in conformal field theory.

Review:

"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

About this edition

• Publisher: Cambridge University Press
• Publication date: 1995
• ISBN 10: 052148412X
• ISBN 13: 9780521484121
• Binding: Paperback
• Number of pages: 448