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• W2918895747 abstract "An explicit isomorphism between the R-matrix and Drinfeld presentations of the quantum affine algebra in type A was given by Ding and Frenkel [Commun. Math. Phys. 156, 277–300 (1993)]. We show that this result can be extended to types B, C, and D and give a detailed construction for type C in this paper. In all classical types, the Gauss decomposition of the generator matrix in the R-matrix presentation yields the Drinfeld generators. To prove that the resulting map is an isomorphism, we follow the work of Frenkel and Mukhin [Sel. Math. 8, 537–635 (2002)] in type A and employ the universal R-matrix to construct the inverse map. A key role in our construction is played by a homomorphism theorem, which relates the quantum affine algebra of rank n − 1 in the R-matrix presentation with a subalgebra of the corresponding algebra of rank n of the same type." @default.
• W2918895747 created "2019-03-11" @default.
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• W2918895747 date "2020-03-01" @default.
• W2918895747 modified "2023-10-15" @default.
• W2918895747 title "Isomorphism between the <i>R</i>-matrix and Drinfeld presentations of quantum affine algebra: Type <i>C</i>" @default.
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• W2918895747 doi "https://doi.org/10.1063/1.5133854" @default.
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