Abstract
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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