A. P. Pozhidaev, “Poisson and Filippov superalgebras”, Sibirsk. Mat. Zh., 2015, Volume 56, Number 3,Pages <nobr>637

This article is cited in 3 papers

Poisson and Filippov superalgebras

A. P. Pozhidaev^ab

^a Novosibirsk State University, Novosibirsk, Russia
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

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.

UDC: 512.57

Received: 08.10.2014

DOI: 10.17377/smzh.2015.56.314