On representations of the elliptic quantum group $E_{\tau ,\eta }(s{l}_2)$

Abstract

We describe representation theory of the elliptic quantum group $E_{\tau ,\eta }(s{l}_2)$. It turns out that the representation theory is parallel to the representation theory of the Yangian $Y(s{l}_2)$ 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

References in corpus (1)

• A Quasi-Hopf algebra interpretation of quantum 3-j and 6-j symbols and difference equations

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