Quantum Current Operators-I Zeros and Poles of Quantum Current Operators and the Condition of Quantum Integrability
Jintai Ding
Kyoto University, JapanTetsuji Miwa
Kyoto University, Japan

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)).
Cite this article
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. 277–284
DOI 10.2977/PRIMS/1195145451