On speciality of Jordan brackets

Ivan Shestakov

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.

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