ABSTRACT

We will characterize all finite dimensional Lie algebras with at most |F|2+|F|+2

centralizers, where F is the underlying field of Lie algebras under consideration....

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...

In this talk, we discuss this notion in Lie algebras and give some

results similar to N.S. Hekster in 1986. In particular, it is shown that

every family of n-isoclinism of Lie algebras contains an n-stem Lie

algebra of minimal...

Recently, the authors in a joint paper obtained the structure of all capable nilpotent Lie algebras with derived subalgebra of dimension at most 1. The paper is devoted to characterize all capable nilpotent Lie algebras of class two with derived...

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...

The current article is devoted to classify the c-capability of finite dimensional
nilpotent Lie algebras with the derived subalgebra of dimension
two....

We determine the number of centralizers of different non-abelian finite dimensional Lie algebras over a specific field. Also, the concept of Lie algebras with abelian centralizers are studied and using a result of Bokut and Kukin [5], for a given...

In this paper, we determine the behavior of the c-nilpotent multi-
plier of Lie algebras with respect to the direct sum. Then we give some results
on the c-capability of the direct sum of nite dimensional Lie algebras....

The aim of this work is to find some criteria for detecting the capability of a pair of Lie

algebras. We characterize the exact structure of all pairs of capable Lie algebras in the

class of abelian and Heisenberg ones. Among the other...