Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations (Mathematical Surveys and Monographs v. 58 Illustrated edition)

Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations (Mathematical Surveys and Monographs v. 58 Illustrated edition)

By: Alexander A. Kirillov Jr. (author), Pavel I. Etingof (author), Igor B. Frenkel (author)Hardback

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Description

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.

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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.

Product Details

  • publication date: 15/06/1998
  • ISBN13: 9780821804964
  • Format: Hardback
  • Number Of Pages: 198
  • ID: 9780821804964
  • weight: 612
  • ISBN10: 0821804960
  • edition: Illustrated edition

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