New examples of binary Lie superalgebras and algebras
Algebra i logika, Tome 60 (2021) no. 6, pp. 557-568.

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New constructions of prime binary Lie superalgebras are presented. Based on one of these, we construct the first example of a prime binary Lie algebra that is not a Mal'tsev algebra.
Keywords: binary Lie superalgebra, binary Lie algebra.
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A. N. Grishkov; I. P. Shestakov; M. N. Rasskazova. New examples of binary Lie superalgebras and algebras. Algebra i logika, Tome 60 (2021) no. 6, pp. 557-568. http://geodesic.mathdoc.fr/item/AL_2021_60_6_a2/

[1] A. I. Maltsev, “Analiticheskie lupy”, Matem. sb., 36(78):3 (1955), 569–576 | Zbl

[2] A. T. Gainov, “Tozhdestvennye sootnosheniya dlya binarno lievykh kolets”, UMN, 12:3(75) (1957), 141–146 | MR | Zbl

[3] V. T. Filippov, “Tsentralnye prostye algebry Maltseva”, Algebra i logika, 15:2 (1976), 235–242 | MR | Zbl

[4] A. N. Grishkov, “Stroenie i predstavleniya binarno-lievykh algebr”, Izv. AN SSSR. Ser. matem., 44:5 (1980), 999–1030 | MR

[5] I. P. Shestakov, “Pervichnye superalgebry Maltseva”, Matem. sb., 182:9 (1991), 1357–1366 | Zbl

[6] M. Arenas, I. P. Shestakov, “On speciality of binary-Lie algebras”, J. Algebra Appl., 10:2 (2011), 257–268 | DOI | MR | Zbl

[7] I. P. Shestakov, “Superalgebry i kontrprimery”, Sib. matem. zh., 32:6 (1991), 187–196 | MR