The concept of n-Lie algebra were introduced by Filippov in 1987. One notes that not all properties of Lie algebras can be carried over to n-Lie algebras, as Williams showed in 2009. In the present article, among other ...

In this paper, we classify all capable nilpotent Lie algebras with the

derived subalgebra of dimension 2 over an arbitrary field. Moreover,

the explicit structure of such Lie algebras of class 3 is given