FREE BOSON REPRESENTATION OF DYH(GL(N))(K) AND DYH(SL(N))(K)

We construct a realization of the Yangian double DY(h over bar)(gl(N)) (k) and DY(H over bar)(sl(N))(k) for an arbitrary level k in terms of free boson fields with a continuous parameter. In the (h) over bar --> 0 limit this realization becomes the Wakimoto realization of affine L ie algebras gl(N) and sl(N), respectively. The vertex operators and th e screening currents are also constructed with the same spirits; the s creening currents commute with DY(h over bar)(sl(N)) module total diff erence. (C) 1998 American Institute of Physics. [S0022-2488(98>00104-2 ].