AMS Bookstore LOGO amslogo
AMS TextbooksAMS Applications-related Books
Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations
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

Mathematical Surveys and Monographs
1998; 198 pp; hardcover
Volume: 58
ISBN-10: 0-8218-0496-0
ISBN-13: 978-0-8218-0496-4
List Price: US$60
Member Price: US$48
Order Code: SURV/58
[Add Item]

Request Permissions

This book 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.


Graduate students and research mathematicians interested in mathematical physics.

Table of Contents

  • Introduction
  • Representations of finite-dimensional and affine Lie algebras
  • Knizhnik-Zamolodchikov equations
  • Solutions of the Knizhnik-Zamolodchikov equations
  • Free field realization
  • Quantum groups
  • Local systems and configuration spaces
  • Monodromy of the Knizhnik-Zamolodchikov equations
  • Quantum affine algebras
  • Quantum Knizhnik-Zamolodchikov equations
  • Solutions of the quantum Knizhnik-Zamolodchikov equations for \(\mathfrak {sl}_2\)
  • Connection matrices for the quantum Knizhnik-Zamolodchikov equations and elliptic functions
  • Current developments and future perspectives
  • References
  • Index
Powered by MathJax

  AMS Home | Comments:
© Copyright 2014, American Mathematical Society
Privacy Statement

AMS Social

AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia