JournalsprimsVol. 35, No. 6pp. 871–892

Determinant Formula for Solutions of the Quantum Knizhnik–Zamolodchikov Equation Associated with <em>U<sub>q</sub></em>(<em>sl<sub>n</sub></em>) at |<em>q</em>| = 1

  • Tetsuji Miwa

    Kyoto University, Japan
  • Yoshihiro Takeyama

    Kyoto University, Japan
  • Vitaly Tarasov

    Steklov Mathematical Institute, St. Petersburg, Russian Federation
Determinant Formula for Solutions of the Quantum Knizhnik–Zamolodchikov Equation Associated with <em>U<sub>q</sub></em>(<em>sl<sub>n</sub></em>) at |<em>q</em>| = 1 cover
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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.

Cite this article

Tetsuji Miwa, Yoshihiro Takeyama, Vitaly Tarasov, Determinant Formula for Solutions of the Quantum Knizhnik–Zamolodchikov Equation Associated with <em>U<sub>q</sub></em>(<em>sl<sub>n</sub></em>) at |<em>q</em>| = 1. Publ. Res. Inst. Math. Sci. 35 (1999), no. 6, pp. 871–892

DOI 10.2977/PRIMS/1195143360