The elliptic algebra Uq,p( ̂ slN ) and the Drinfeld realization of the elliptic quantum group Bq,λ( ̂ slN

By using the elliptic analogue of the Drinfeld currents in the elliptic algebra Uq,p(ŝlN ), we construct a L-operator, which satisfies the RLL-relations characterizing the face type elliptic quantum group Bq,λ(ŝlN ). For this purpose, we introduce a set of new currents Kj(v) (1 ≤ j ≤ N) in Uq,p(ŝlN ). As in the N = 2 case, we find a structure of Uq,p(ŝlN ) as a certain tensor product of Bq,λ(ŝlN ) and a Heisenberg algebra. In the level-one representation, we give a free field realization of the currents in Uq,p(ŝlN ). Using the coalgebra structure of Bq,λ(ŝlN ) and the above tensor structure, we derive a free field realization of the Uq,p(ŝlN )analogue of Bq,λ(ŝlN )-intertwining operators. The resultant operators coincide with those of the vertex operators in the A (1) N−1-type face model.