Quantum current operators-I zeros and poles of quantum current operators and the condition of quantum integrability

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 U_q(s-fraktur signl-fraktur sign(2)), which is a deformation of the corresponding condition for s-fraktur signl-fraktur sign(2). We also present the results about the zeros and poles of the quantum current operators of U_q(s-fraktur signl-fraktur sign(n)).