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Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations
About this Title
Pavel I. Etingof, Harvard University, Cambridge, MA, Igor B. Frenkel, Yale University, New Haven, CT and Alexander A. Kirillov, Jr., Massachusetts Institute of Technology, Cambridge, MA
Publication: Mathematical Surveys and Monographs
Publication Year:
1998; Volume 58
ISBNs: 978-0-8218-0496-4 (print); 978-1-4704-1285-2 (online)
DOI: https://doi.org/10.1090/surv/058
MathSciNet review: MR1629472
MSC: Primary 32G34; Secondary 17B37, 17B67, 17B68, 33D80
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Front/Back Matter
Chapters
- Lecture 1. Introduction
- Lecture 2. Representations of finite-dimensional and affine Lie algebras
- Lecture 3. Knizhnik-Zamolodchikov equations
- Lecture 4. Solutions of the Knizhnik-Zamolodchikov equations
- Lecture 5. Free field realization
- Lecture 6. Quantum groups
- Lecture 7. Local systems and configuration spaces
- Lecture 8. Monodromy of Knizhnik-Zamolodchikov equations
- Lecture 9. Quantum affine algebras
- Lecture 10. Quantum Knizhnik-Zamolodchikov equations
- Lecture 11. Solutions of the quantum Knizhnik-Zamolodchikov equations for $\mathfrak {sl}_2$
- Lecture 12. Connection matrices for the quantum Knizhnik-Zamolod- chikov equations and elliptic functions
- Lecture 13. Current developments and future perspectives