We derive the exchange relations of the vertex operators of Uq (A2(2)) and show that these vertex operators give the bosonization of the Izergin-Korepin model. We give an integral expression of the correlation functions of the Izergin-Korepin model and derive the difference equations which they satisfy.

The common index characterizes the whole descent equation.

Belavin's Zn

This paper shows that, starting from any conserved current generated by some given infinitesimal symmetry generator, one may use flnite dual transtormations to induce infinitely many inflnitesimal symmetry generators. Thus, besdes starting from ordinary isotopic and space-time translation, this paper also disovers the infinitesimal generators for B

We extend the Gervais-Neveu-Felder equation (GNFE) to the boundary case. Using the bound-ary GNFE, we give a definition of the boundary elliptic quantum group BET,n (sl2). The evaluation representation of the boundary elliptic quantum group BET,n (sl2) is presented. The Bethe ansatz for the boundary quantum group BET.n (sl2) is obtained. In a special case, the obtained Bethe ansatz is similar to the Bethe ansatz of the eight-vertex and the higher spin eight-vertex models with open boundary conditions.