New <i>R</i> Matrices Associated with Cyclic Representations of <i>U<sub>q</sub></i>(<i>A</i><sub>2</sub><sup>(2)</sup>)

  • Etsuro Date

    Kyoto University, Japan
  • Michio Jimbo

    Rikkyo University, Tokyo, Japan
  • Kei Miki

    Kyoto University, Japan
  • Tetsuji Miwa

    Kyoto University, Japan

Abstract

New R matrices are constructed as intertwiners of N-dimensional representations of Uq(_A_2(2)) at qN=1. Analogous construction for Uq(_A_1(1)) reproduces the chiral Potts model.

Cite this article

Etsuro Date, Michio Jimbo, Kei Miki, Tetsuji Miwa, New <i>R</i> Matrices Associated with Cyclic Representations of <i>U<sub>q</sub></i>(<i>A</i><sub>2</sub><sup>(2)</sup>). Publ. Res. Inst. Math. Sci. 27 (1991), no. 4, pp. 639–655

DOI 10.2977/PRIMS/1195169423