$\delta$-Derivations of simple finite-dimensional Jordan superalgebras
Algebra i logika, Tome 46 (2007) no. 5, pp. 585-605
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We describe non-trivial $\delta$-derivations of semisimple finite-dimensional Jordan algebras over an algebraically closed field of characteristic not 2, and of simple finite-dimensional Jordan superalgebras over an a gebraically closed field of characteristic 0. For these classes of algebras and superalgebras, non-zero $\delta$-derivations are shown to be missing for $\delta\ne0,1/2,1$, and we give a complete account of 1/2-derivations.
Keywords:
$\delta$-derivation, simple finite-dimensional Jordan superalgebra.
@article{AL_2007_46_5_a3,
author = {I. B. Kaygorodov},
title = {$\delta${-Derivations} of simple finite-dimensional {Jordan} superalgebras},
journal = {Algebra i logika},
pages = {585--605},
publisher = {mathdoc},
volume = {46},
number = {5},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AL_2007_46_5_a3/}
}
I. B. Kaygorodov. $\delta$-Derivations of simple finite-dimensional Jordan superalgebras. Algebra i logika, Tome 46 (2007) no. 5, pp. 585-605. http://geodesic.mathdoc.fr/item/AL_2007_46_5_a3/