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

Mathematics – Quantum Algebra

Scientific paper

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

Scientific paper

10.1007/BF02101296

We describe representation theory of the elliptic quantum group
$E_{\tau,\eta}(sl_2)$. 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)$.

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