The elliptic algebra U_{q,p}(\hat{sl}_N) and the Drinfeld realization of the elliptic quantum group B_{q,\lambda}(\hat{sl}_N)

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.