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Isomorphism of two realizations of quantum affine algebra\(U_q (\widehat{\mathfrak{g}\mathfrak{l}{\text{(}}n{\text{)}}})\)

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We establish an explicit isomorphism between two realizations of the quantum affine algebra\(U_q (\widehat{\mathfrak{g}\mathfrak{l}{\text{(}}n{\text{)}}})\) given previously by Drinfeld and Reshetikhin-Semenov-Tian-Shansky. Our result can be considered as an affine version of the isomorphism between the Drinfield/Jimbo and the Faddeev-Reshetikhin-Takhtajan constructions of the quantum algebra\(U_q (\mathfrak{g}\mathfrak{l}(n))\).

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Communicated by N.Yu. Reshetikhin

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Ding, J., Frenkel, I.B. Isomorphism of two realizations of quantum affine algebra\(U_q (\widehat{\mathfrak{g}\mathfrak{l}{\text{(}}n{\text{)}}})\) . Commun.Math. Phys. 156, 277–300 (1993). https://doi.org/10.1007/BF02098484

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