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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 3, Pages 637–649
DOI: https://doi.org/10.17377/smzh.2015.56.314 (Mi smj2666) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Poisson and Filippov superalgebras

A. P. Pozhidaevab

a Novosibirsk State University, Novosibirsk, Russia
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (325 kB) Citations (3)
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DOI: https://doi.org/10.17377/smzh.2015.56.314
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.
Keywords: Poisson superalgebra, Filippov superalgebra, simple superalgebra, Grassmann superalgebra.
Received: 08.10.2014
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 3, Pages 505–515
DOI: https://doi.org/10.1134/S0037446615030143
Bibliographic databases:
Document Type: Article
UDC: 512.57
Language: Russian
Citation: A. P. Pozhidaev, “Poisson and Filippov superalgebras”, Sibirsk. Mat. Zh., 56:3 (2015), 637–649; Siberian Math. J., 56:3 (2015), 505–515
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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