QUANTUM VOLTERRA MODEL AND THE UNIVERSAL R-MATRIX

We prove that an integrable system solved by the quantum inverse scatt ering mettled can be described DSI a purely algebraic object (universa l R-matrix) and a proper algebraic representation. For the quantum Vol terra model, we construct the L-operator and the fundamental R-matrix from the universal R-matrix for the quantum affine algebra U-q((s) ove r cap l(2)) and the q-oscillator representation for it. Thus, there is an equivalence between an integrable system with the symmetry algebra A and the representation of this algebra.