This article is cited in 5 papers

RESEARCH ARTICLE

On speciality of Jordan brackets

Ivan. Shestakov

Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo, Brasil and Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia

Abstract: We conjecture a criterium of speciality for Jordan superalgebras of brackets that generalizes the corresponding criterium for Jordan Poisson superalgebras from [8]. We prove the necessarity condition of the criterium. The question on its sufficiency remains open.

Keywords: Jordan superalgebra, Jordan bracket, Poisson bracket, special algebra, Kantor double.

MSC: 17C50, 17C70, 17A70

Received: 31.08.2009
Revised: 21.09.2009

Language: English

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