JournalsprimsVol. 33, No. 2pp. 277–284

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

  • Jintai Ding

    Kyoto University, Japan
  • Tetsuji Miwa

    Kyoto University, Japan
Quantum Current Operators-I Zeros and Poles of Quantum Current Operators and the Condition of Quantum Integrability cover
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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