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

Fuchs, Jürgen

ISBN 10: 052148412X / ISBN 13: 9780521484121

Published by Cambridge University Press, 1995

About this Item

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. Series Editor(s): Landshoff, P. V.; Nelson, David R.; Weinberg, S. Series: Cambridge Monographs on Mathematical Physics. Num Pages: 448 pages, 40 b/w illus. BIC Classification: PBF; PH. Category: (P) Professional & Vocational. Dimension: 247 x 174 x 23. Weight in Grams: 770. . 1995. Illustrated. paperback. . . . . Books ship from the US and Ireland.

Seller Inventory # V9780521484121

Bibliographic Details

• Title: Affine Lie Algebras and Quantum Groups: An Introduction, with Applications in Conformal Field Theory (Cambridge Monographs on Mathematical Physics)
• Publisher: Cambridge University Press
• Publication Date: 1995
• Language: English
• ISBN 10: 052148412X
• ISBN 13: 9780521484121
• Binding: Soft cover
• Condition: New

About this title

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.

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.