Isomorphism of two realizations of quantum affine algebraU_q (\widehat{\mathfrak{g}\mathfrak{l}{\text{(}}n{\text{)}}})期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Jintai Ding Igor B Frenkel

Institution:	(1) Department of Mathematics, Yale University, 06520 New Haven, CT, USA

Abstract:	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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