The Elliptic Algebra U_q,p(s-fraktur sign l_N) and the Drinfeld Realization of the Elliptic Quantum Group B _q,λ(s-fraktur sign l_N)

By using the elliptic analogue of the Drinfeld currents in the elliptic algebra U_q,p(s-fraktur sign l_N), we construct a L-operator, which satisfies the RLL-relations characterizing the face type elliptic quantum group B_q,?(s-fraktur sign l_N). For this purpose, we introduce a set of new currents K_j(v) (1 = j > N) in U_q,p(s-fraktur sign l_N). As in the N = 2 case, we find a structure of U_q,p(s-fraktur sign l_N) as a certain tensor product of B_q,?(s-fraktur sign l_N) and a Heisenberg algebra. In the level-one representation, we give a free field realization of the currents in U_q,p(s-fraktur sign l_N). Using the coalgebra structure of B_q,?(s-fraktur sign l _N) and the above tensor structure, we derive a free field realization of the U_q,p(s-fraktur sign l_N)-analogue of B_q,?(s-fraktur sign l_N)-intertwining operators. The resultant operators coincide with those of the vertex operators in the A_N-1⁽¹⁾-type face model.