Geodesic
Weighted systems of framed chord diagrams corresponding to Lie algebras
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2022), pp. 60-64

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The construction of Bar-Natan of weight systems induced by Lie algebra representations is generalized in the paper to the case of framed chord diagrams. 
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     author = {D. P. Ilyutko and I. M. Nikonov},
     title = {Weighted systems of framed chord diagrams corresponding to {Lie} algebras},
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D. P. Ilyutko; I. M. Nikonov. Weighted systems of framed chord diagrams corresponding to Lie algebras. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2022), pp. 60-64. http://geodesic.mathdoc.fr/item/VMUMM_2022_6_a8/