On the vertex operators of the elliptic quantum algebra Uq,p(sl2̂)k

A realization of the elliptic quantum algebra Uq,p(sl2) for any given level k is constructed in terms of three free boson fields and their accompanying twisted partners. It can be viewed as the elliptic deformation of the Wakimoto realization. Two screening currents are constructed; they commute or anticommute with Uq,p(sl2) modulo total q-differences. The free field realization for two types of vertex operators nominated as the type I and the type II vertex operators is presented. The twisted version of the two types of vertex operators are also obtained. They all play crucial roles in calculating correlation functions.