Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations

Front Cover
American Mathematical Soc., 1998 - Science - 198 pages
This text is devoted to mathematical structures arising in conformal field theory and the q-deformations. The authors give a self-contained exposition of the theory of Knizhnik-Zamolodchikov equations and related topics. No previous knowledge of physics is required. The text is suitable for a one-semester graduate course and is intended for graduate students and research mathematicians interested in mathematical physics.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Lecture 1 Introduction
1
Lecture 2 Representations of finitedimensional and affine Lie algebras
15
Lecture 3 KnizhnikZamolodchikov equations
29
Lecture 4 Solutions of the Knizhnik Zamolodchikov equations
49
Lecture 5 Free field realization
63
Lecture 6 Quantum groups
79
Lecture 7 Local systems and configuration spaces
97
Lecture 8 Monodromy of KnizhnikZamolodchikov equations
113
Lecture 9 Quantum affine algebras
131
Lecture 10 Quantum KnizhnikZamolodchikov equations
147
Lecture 11 Solutions of the quantum KnizhnikZamolodchikov equations for slsub2
161
Lecture 12 Connection matrices for the quantum KnizhnikZamolodchikov equations and elliptic functions
171
Lecture 13 Current developments and future perspectives
179
References
189
Index
197
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information