By using the elliptic analogue of the Drinfeld currents in the elliptic algebra U_{ q,p}(\hat{ sl}_N), we construct a L-operator, which satisfies the RLL-relations characterizing the face type elliptic quantum group B_{ q,\lambda}(\hat{ sl}_N). For this purpose, we introduce a set of new currents K_j(v) (1\leq j\leq N) in U_{ q,p}(\hat{ sl}_N). As in the N=2 case, we find a structure of U_{ q,p}(\hat{ sl}_N) as a certain tensor product of B_{ q,\lambda}(\hat{ sl}_N) and a Heisenberg algebra. In the level-one representation, we give a free field realization of the currents in U_{ q,p}(\hat{ sl}_N). Using the coalgebra structure of B_{ q,\lambda}(\hat{ sl}_N) and the above tensor structure, we derive a free field realization of the U_{ q,p}(\hat{ sl}_N)-analogue of B_{ q,\lambda}(\hat{ sl}_N)-intertwining operators. The resultant operators coincide with those of the vertex operators in the A_{ N-1}^{ (1)}-type face model.
Categories: math.QA hep-th math-ph math.MP