New $R$ Matrices Associated with Cyclic Representations of $U_q(A_2^{(2)})$

Etsuro Date; Michio Jimbo; Kei Miki; Tetsuji Miwa

doi:10.2977/prims/1195169423

JournalsprimsVol. 27, No. 4pp. 639–655

New $R$ Matrices Associated with Cyclic Representations of $U_{q} (A_{2}^{(2)})$

Etsuro Date
Kyoto University, Japan
Michio Jimbo
Rikkyo University, Tokyo, Japan
Kei Miki
Kyoto University, Japan
Tetsuji Miwa
Kyoto University, Japan

$New $R$ Matrices Associated with Cyclic Representations of $U_q(A_2^{(2)})$ cover$

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Abstract

New $R$ matrices are constructed as intertwiners of $N$ -dimensional representations of $U_{q} (A_{2}^{(2)})$ at $q^{\overset{ˉ}{N}} = 1$ . Analogous construction for $U_{q} (A_{1}^{(1)})$ reproduces the chiral Potts model.

Cite this article

Etsuro Date, Michio Jimbo, Kei Miki, Tetsuji Miwa, New $R$ Matrices Associated with Cyclic Representations of $U_{q} (A_{2}^{(2)})$ . Publ. Res. Inst. Math. Sci. 27 (1991), no. 4, pp. 639–655

DOI 10.2977/PRIMS/1195169423