Geodesic
Lie bialgebras with triality and Mal'tsev bialgebras
Algebra i logika, Tome 55 (2016) no. 3, pp. 300-327

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We consider the relationship between Mal’tsev bialgebras and Lie bialgebras with triality, and also between symplectic Mal’tsev algebras and symplectic Lie algebras with triality. The given relations generalize a connection between Mal’tsev algebras and Lie algebras with triality, revealed by P. O. Mikheev [Algebra i Logika, 31, No. 2 (1992), 167–173], and a connection between Mal'tsev coalgebras and Lie coalgebras with triality, explored by M. E. Goncharov and V. N. Zhelyabin [Algebra i Logika, 52, No. 1 (2013), 34–56].
Keywords: Mal'tsev algebra, Mal'tsev bialgebra, Lie algebra, Lie bialgebra, classical Yang–Baxter equation, symplectic form. 
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     author = {M. E. Goncharov},
     title = {Lie bialgebras with triality and {Mal'tsev} bialgebras},
     journal = {Algebra i logika},
     pages = {300--327},
     publisher = {mathdoc},
     volume = {55},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2016_55_3_a1/}
}
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M. E. Goncharov. Lie bialgebras with triality and Mal'tsev bialgebras. Algebra i logika, Tome 55 (2016) no. 3, pp. 300-327. http://geodesic.mathdoc.fr/item/AL_2016_55_3_a1/