Geodesic
Isomorphism between the $R$-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types $B$ and $D$
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020) Cet article a éte moissonné depuis la source Math-Net.Ru

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Following the approach of Ding and Frenkel [Comm. Math. Phys. 156 (1993), 277–300] for type $A$, we showed in our previous work [J. Math. Phys. 61 (2020), 031701, 41 pages] that the Gauss decomposition of the generator matrix in the $R$-matrix presentation of the quantum affine algebra yields the Drinfeld generators in all classical types. Complete details for type $C$ were given therein, while the present paper deals with types $B$ and $D$. The arguments for all classical types are quite similar so we mostly concentrate on necessary additional details specific to the underlying orthogonal Lie algebras.
Keywords: $R$-matrix presentation, Drinfeld new presentation
Mots-clés : universal $R$-matrix, Gauss decomposition. 
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     author = {Naihuan Jing and Ming Liu and Alexander Molev},
     title = {Isomorphism between the $R${-Matrix} and {Drinfeld} {Presentations} of {Quantum} {Affine} {Algebra:} {Types} $B$ and $D$},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a42/}
}
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Naihuan Jing; Ming Liu; Alexander Molev. Isomorphism between the $R$-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types $B$ and $D$. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a42/

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