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)).
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Jintai Ding, Tetsuji Miwa, Quantum Current Operators-I Zeros and Poles of Quantum Current Operators and the Condition of Quantum Integrability. Publ. Res. Inst. Math. Sci. 33 (1997), no. 2, pp. 277–284DOI 10.2977/PRIMS/1195145451