ENGLISH

Affine Lie Algebras and Quantum Groups: An Introduction, with Applications in Conformal Field Theory

By Jürgen A. Fuchs

Book information

Publisher
Cambridge University Press
Year
1992
ISBN
0521415934, 9780521415934
Google Books ID
ckZ-jfbqEbgC
Language
english
Format
DJVU
Filesize
9 MB (9191833 bytes)
Series
Cambridge Monographs on Mathematical Physics
Pages
447\447
Topic
Mathematics Algebra
Orientation
yes
Scanned
yes
Time added
2011-08-31 04:54:40
Математика;Общая алгебра;Группы и алгебры Ли;Алгеб

Description

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.

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