Integral Solutions of Trigonometric Knlzhnik-Zamolodchikov Equations and Kac-Moody Algebras

  • Ivan Cherednik

    Moscow State University, Russian Federation

Abstract

We use Kac-Moody algebras to get some integral solutions for trigonometric r-matrix Knizhnik-Zamolodchikov equations of type Xl(1) generalizing those in the case of Yang's r-matrix, where our construction gives a new interpretation and a short proof of Schechtman, Varchenko theorem.

Cite this article

Ivan Cherednik, Integral Solutions of Trigonometric Knlzhnik-Zamolodchikov Equations and Kac-Moody Algebras. Publ. Res. Inst. Math. Sci. 27 (1991), no. 5, pp. 727–744

DOI 10.2977/PRIMS/1195169269