Affine Lie algebras and quantum groups : an introduction, with applications in conformal field theory

Author(s)

• Fuchs, Jürgen

Bibliographic Information

Affine Lie algebras and quantum groups : an introduction, with applications in conformal field theory

Jürgen Fuchs

（Cambridge monographs on mathematical physics）

Cambridge University Press, 1992

Note

Bibliographical references: p. 405-427

Includes index

Description and Table of Contents

Description

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.

Table of Contents

• 1. Semisimple Lie algebras
• 2. Affine Lie algebras
• 3. WZW theories
• 4. Quantum groups
• 5. Duality, fusion rules, and modular invariance
• Bibliography
• Index.

by "Nielsen BookData"

Details

• NCID: BA18673184
• ISBN:
  • 0521415934
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cambridge
• Pages/Volumes: xiv, 433 p.
• Size: 26 cm
• Subject Headings:
  • LCSH : Lie algebras
  • LCSH : Representations of groups
• Parent Bibliography ID:
  • BA00074521