On $\delta$-superderivations of simple superalgebras of Jordan brackets

Abstract

A complete description of $\delta$-derivations and $\delta$-superderivations is given for simple unital superalgebras of Jordan brackets over a field of characteristic different from~$2$ \textup{(}and, for the odd $\delta$-superderivations, different from~$3$; see Remark~A for characteristic~$3$\textup{)} and for simple unital finite-dimensional Jordan superalgebras over an algebraically closed field of characteristic $p\ne 2$ \textup{(}with the corrections of Remarks~A and~C for $p>2$\textup{)}. As a consequence, a criterion for simple unital superalgebras of Jordan brackets to be special is obtained.

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References in corpus (2)

• On $\delta$-derivations of Lie algebras and superalgebras
• $\delta$-superderivations of simple finite-dimensional Jordan and Lie superalgebras

Cited by in corpus (1)

• Generalized derivations of multiplicative $n$-ary Hom-$\Omega$ color algebras