Geodesic
Derivations of simple three-dimensional anticommutative algebras
Journal of the Belarusian State University. Mathematics and Informatics, Tome 2 (2024), pp. 19-26

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In this paper, we investigate the derivation algebras of simple three-dimensional anticommutative algebras over algebraically closed fields. The main statement of the article is that the derivation algebras of simple three-dimensional anticommutative algebras have dimensions $0$, $1$ and $3$, for the latter case they are isomorphic to a simple Lie algebra of traceless matrices of the $2^{nd}$ order.
Keywords: derivation algebras; Lie algebras; simple three-dimensional anticommutative algebras 
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S. V. Pchelintsev; M. S. Dubrovin. Derivations of simple three-dimensional anticommutative algebras. Journal of the Belarusian State University. Mathematics and Informatics, Tome 2 (2024), pp. 19-26. http://geodesic.mathdoc.fr/item/BGUMI_2024_2_a1/