Geodesic
Second-order evaluations of orthogonal and symplectic Yangians
Teoretičeskaâ i matematičeskaâ fizika, Tome 192 (2017) no. 2, pp. 250-258 Cet article a éte moissonné depuis la source Math-Net.Ru

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Orthogonal or symplectic Yangians are defined by the Yang–Baxter $RLL$ relation involving the fundamental $R$-matrix with the corresponding $so(n)$ or $sp(2m)$ symmetry. We investigate the second-order solution conditions, where the expansion of $L(u)$ in $u^{-1}$ is truncated at the second power, and we derive the relations for the two nontrivial terms in $L(u)$.
Keywords: integrable systems, Yang–Baxter relation, symplectic Lie algebra, truncated Yangian.
Mots-clés : orthogonal Lie algebra 
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D. R. Karakhanyan; R. Kirshner. Second-order evaluations of orthogonal and symplectic Yangians. Teoretičeskaâ i matematičeskaâ fizika, Tome 192 (2017) no. 2, pp. 250-258. http://geodesic.mathdoc.fr/item/TMF_2017_192_2_a5/

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