The Drinfeld Realization of the Elliptic Quantum Group Bq,λ(A (2)

We construct a realization of the L-operator satisfying the RLL-relation of the face type elliptic quantum group Bq,λ(A (2) 2 ). The construction is based on the elliptic analogue of the Drinfeld currents of Uq(A (2) 2 ), which forms the elliptic algebra Uq,p(A (2) 2 ). We give a realization of the elliptic currents E(z), F (z) and K(z) as a tensor product of the Drinfeld currents of Uq(A (2) 2 ) and a Heisenberg algebra. In the level-one representation, we also give a free field realization of the elliptic currents. Applying these results, we derive a free field realization of the Uq,p(A (2) 2 )analogue of the Bq,λ(A (2) 2 )-intertwining operators. The resultant operators coincide with those of the vertex operators in the dilute AL model, which is known to be a RSOS restriction of the A (2) 2 face model.