On representations of the elliptic quantum group $E_{\tau,\eta}(sl_2)$

Alexander Varchenko (University of North Carolina at Chapel Hill); Giovanni Felder

arxiv: q-alg/9601003 · v2 · submitted 1996-01-03 · q-alg · math.QA

On representations of the elliptic quantum group E_(τ,η)(sl₂)

Giovanni Felder , Alexander Varchenko (University of North Carolina at Chapel Hill) This is my paper

classification q-alg math.QA

keywords groupquantumrepresentationtheoryellipticdescribeloopparallel

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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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On representations of the elliptic quantum group E_(τ,η)(sl₂)

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