On 𝛿-superderivations of simple superalgebras of Jordan brackets

Zhelyabin, V.; Kaygorodov, I.

doi:10.1090/S1061-0022-2012-01213-6

On $\delta$-superderivations of simple superalgebras of Jordan brackets
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by V. N. Zhelyabin and I. B. Kaygorodov
Translated by: N. B. Lebedinskaya

St. Petersburg Math. J. 23 (2012), 665-677

DOI: https://doi.org/10.1090/S1061-0022-2012-01213-6

Published electronically: April 13, 2012

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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 and for simple unital finite-dimensional Jordan superalgebras over an algebraically closed field of characteristic $p \neq 2$. As a consequence, a criterion for simple unital superalgebras of Jordan brackets to be special is obtained.

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