Determinant Formula for Solutions of the Uq(sln) qKZ Equation at |q | = 1

Abstract

We construct the hypergeometric solutions for the quantized Knizhnik-Zamolodchikov equation with values in a tensor product of vector representations of Uq(sln) at |q| = 1 and give an explicit formula for the corresponding determinant in terms of the double sine function. Introduction In this paper we study the hypergeometric solutions of the quantized… (More)

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