Publications of the Research Institute for Mathematical Sciences


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Volume 33, Issue 2, 1997, pp. 277–284
DOI: 10.2977/prims/1195145451

Published online: 1997-04-30

Quantum Current Operators-I Zeros and Poles of Quantum Current Operators and the Condition of Quantum Integrability

Jintai Ding[1] and Tetsuji Miwa[2]

(1) Kyoto University, Japan
(2) Kyoto University, Japan

For the current realization of the affine quantum groups, a simple comultiplication for the quantum current operators was given by Drinfeld. With this comultiplication, we study the zeros and poles of the quantum current operators and present a condition of integrability on the quantum current operators of Uq(sl^(2)), which is a deformation of the corresponding condition for sl^(2). We also present the results about the zeros and poles of the quantum current operators of Uq(sl^(n)).

Keywords:

Ding Jintai, Miwa Tetsuji: Quantum Current Operators-I Zeros and Poles of Quantum Current Operators and the Condition of Quantum Integrability. Publ. Res. Inst. Math. Sci. 33 (1997), 277-284. doi: 10.2977/prims/1195145451