DYNAMICALLY TWISTED ALGEBRA A(Q,P(PI)OVER-CAP)((GL(2))OVER-CAP) AS CURRENT-ALGEBRA GENERALIZING SCREENING CURRENTS OF Q-DEFORMED VIRASORO ALGEBRA

In this paper, we propose an elliptic algebra A(q,p;(pi))over-cap>)(gl (2)) which is based on the relations RLL = LLR, where R and R* are th e dynamical R-matrices of A(1)((1))-type face model with the elliptic moduli shifted by the centre of the algebra. From the Ding-Frenkel cor respondence, we find that its corresponding (Drinfeld) current algebra at level one is the algebra of screening currents for q-deformed Vira soro algebra. We realize the elliptic algebra at level one by Miki's c onstruction from the bosonization for the type I and type II vertex op erators. We also show that the algebra A(q,p;(pi))over-cap((gl)(2)over -cap) is related to the algebra A(q,p)(<(gl(2))over cap>) by dynamical ly twisting.