Derivations of simple three-dimensional anticommutative algebras
Abstract
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 2nd order.
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