Abstract
We establish a connection between the Poisson superalgebras with some additional (Farkas) identity and the Filippov superalgebras. This construction yields all available simple Filippov algebras. We also exhibit new examples of simple finite-dimensional Filippov superalgebras of characteristic 2.
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Dedicated to the 75th birthday of Yuriĭ Leonidovich Ershov.
Original Russian Text Copyright © 2015 Pozhidaev A.P.
The author was partially supported by the Russian Foundation for Basic Research (Grants 12-01-33031 and 14-01-00014).
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 3, pp. 637–649, May–June, 2015; DOI: 10.17377/smzh.2015.56.314.
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Pozhidaev, A.P. Poisson and Filippov superalgebras. Sib Math J 56, 505–515 (2015). https://doi.org/10.1134/S0037446615030143
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DOI: https://doi.org/10.1134/S0037446615030143