Classification of derivation algebras in low dimensions

Guediri, MohammedAlbalawi, Kholoud2018-05-142018-05-142018-01Arab Journal of Mathematical Sciences 24 (1) (2018) 101–1241319-5166https://doi.org/10.1016/j.ajmsc.2017.11.001http://hdl.handle.net/123456789/1344A left-symmetric algebra A is said to be a derivation algebra if all its left and right multiplications are derivations of the Lie algebra associated to A. In this paper, we shall study derivation algebras over R and then classify almost all those of dimensions ≤ 4enExtensions of left-symmetric algebrasLeft-invariant afﬁne connectionNovikov algebrasDerivation algebrasClassification of derivation algebras in low dimensionsArticle