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 prove that, for the integrable modules of Uq(s-fraktur signl-fraktur sign(2)) of level k+1, x±(z)x±(zq ±2)⋯x±(zq±2k) are vertex operators satisfying certain q-difference equations, and we derive the quantum parafers-fraktur signl-fraktur sign mions of Uq(s-fraktur signl-fraktur sign(2)).
| Original language | English |
|---|---|
| Pages (from-to) | 285-300 |
| Number of pages | 16 |
| Journal | Publications of the Research Institute for Mathematical Sciences |
| Volume | 33 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Mar 1997 |
| Externally published | Yes |
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Ding, J., & Feigin, B. (1997). Quantum current operators-II difference equations of quantum current operators and quantum parafermion construction. Publications of the Research Institute for Mathematical Sciences, 33(2), 285-300. https://doi.org/10.2977/prims/1195145452