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

Abstract

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)).