On representations of the elliptic quantum group $E_{τ,η}(sl_2)$

Abstract

We describe representation theory of the elliptic quantum group $E_{τ,η}(sl_2)$. It turns out that the representation theory is parallel to the representation theory of the Yangian $Y(sl_2)$ and the quantum loop group $ U_q(\widetilde { sl }_2)$.

21 pages, amstex. An explicit formula for the general R matrix is given in this revised version