Geodesic
Relation between categories of representations of the super-Yangian
Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 3, pp. 466-484 Cet article a éte moissonné depuis la source Math-Net.Ru

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Using the approach developed by Toledano Laredo and Gautam, we introduce analogues of the category $\mathfrak{O}$ for representations of the Yangian $Y_\hbar(A(m,n))$ of a special linear Lie superalgebra and the quantum loop superalgebra $U_q(LA(m,n))$. We investigate the relation between them and conjecture that these categories are equivalent.
Keywords: Yangian of Lie superalgebra, quantum loop superalgebra, Yangian module, category $\mathfrak{O}$ of representations, Lie superalgebra, Drinfeld polynomial
Mots-clés : quantum $R$-matrix. 
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V. A. Stukopin. Relation between categories of representations of the super-Yangian. Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 3, pp. 466-484. http://geodesic.mathdoc.fr/item/TMF_2020_204_3_a10/

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