Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebra: Type C
نویسندگان
چکیده
منابع مشابه
the investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
On Drinfeld Realization of Quantum Affine Algebras
In 1987 Drinfeld [Dr2] gave an extremely important realization of quantum affine algebras [Dr1][Jb]. This new realization has lead to numerous applications such as the vertex representations [FJ][J]. The proof of this realization was not in print until Beck’s braid group interpretation for the untwisted types [B]. Some of lower rank cases were also studied in [D][S]. All these work started from...
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This paper is an extended version of our previous short letter [1] and is attempted to give a detailed account for the results presented in that paper. Let Uq(G (1)) be the quantized nontwisted affine Lie algebra and Uq(G) be the corresponding quantum simple Lie algebra. Using the previous obtained universal R-matrix for Uq(A (1) 1 ) and Uq(A (1) 2 ), we determine the explicitly spectraldepende...
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We describe the realization of the super Reshetikhin-Semenov-Tian-Shansky (RS) algebra in quantum affine superalgebras, thus generalizing the approach of Frenkel-Reshetikhin to the supersymmetric (and twisted) case. The algebraic homomorphism between the super RS algebra and the Drinfeld current realization of quantum affine superalgebras is established by using the Gauss decomposition techniqu...
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In a recent work [FR], Frenkel and Reshetikhin developed the theory of q-vertex operators. They showed that n-point correlation functions associated to q-vertex operators satisfy a qdifference equation called q-deformed Kniznik-Zamolodchikov equation. In the derivation of this equation, a crucial point is that the quantum affine algebra is a quasi-triangular Hopf algebra. By using several prope...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2020
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.5133854