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The Center for the Elliptic Quantum Group $E_{\tau,\eta}(sl_n)$

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arxiv math/0412100 v2 pith:VDBNVYEJ submitted 2004-12-05 math.QA hep-th

classification math.QAhep-th
keywords centerellipticgeneratorsgroupquantumalgebraformgive
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We give the center of the elliptic quantum group in general case. Based on the Dynamic Yang-Baxter Relation and the fusion method, we prove that the center commute with all generators of the elliptic quantum group. Then for a kind of assumed form of these generators, we find that the coefficients of these generators form a new type closed algebra. We also give the center for the algebra.

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