In this paper, we investigate the notion of isoclinism on a pair of n-Lie algebras, which forms an equivalence relation. In addition, we prove each equivalence class contains a stem pair of n-Lie algebras, which has minimal dimension among...

ABSTRACT. Let (I;A) be a pair of n-Lie algebras. Then we introduce the concept of Schur multiplier of the pair (I;A), denoted by M(I;A), and some inequalities, for the dimension of M(I;A) are given.

We also determine a necessary...

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 results it is shown...