Geodesic
An example of a simple double Lie algebra
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 834-844

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We extend the correspondence between double Lie algebras and skew-symmetric Rota—Baxter operators of weight 0 on the matrix algebra to the infinite-dimensional case. We give the first example of a simple double Lie algebra.
Keywords: double Lie algebra, Rota—Baxter operator. 
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     title = {An example of a simple double {Lie} algebra},
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V. Gubarev. An example of a simple double Lie algebra. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 834-844. http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a2/