TY - JOUR
T1 - Quantum current operators-II difference equations of quantum current operators and quantum parafermion construction
AU - Ding, Jintai
AU - Feigin, Boris
PY - 1997/3
Y1 - 1997/3
N2 - 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)).
AB - 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)).
UR - http://www.scopus.com/inward/record.url?scp=21744457397&partnerID=8YFLogxK
U2 - 10.2977/prims/1195145452
DO - 10.2977/prims/1195145452
M3 - Article
AN - SCOPUS:21744457397
SN - 0034-5318
VL - 33
SP - 285
EP - 300
JO - Publications of the Research Institute for Mathematical Sciences
JF - Publications of the Research Institute for Mathematical Sciences
IS - 2
ER -