Publications of the Research Institute for Mathematical Sciences
Full-Text PDF (688 KB) | Metadata | Table of Contents | PRIMS summary
Published online: 1997-04-30
Quantum Current Operators-I Zeros and Poles of Quantum Current Operators and the Condition of Quantum IntegrabilityJintai Ding and Tetsuji Miwa (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)).
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