Lectures on representation theory and Knizhnik-Zamolodchikov equations

Bibliographic Information

Lectures on representation theory and Knizhnik-Zamolodchikov equations

Pavel I. Etingof, Igor B. Frenkel, Alexander A. Kirillov, Jr

(Mathematical surveys and monographs, v. 58)

American Mathematical Society, c1998

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Note

Includes bibliographical references (p. 189-195) and index

Description and Table of Contents

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.

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.

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