On Isoclinic Extensions of Lie Algebras and Nilpotent Lie Algebras

Abstract

In this paper, we present the concept of isoclinism of Lie algebras and its relationship to the Schur multiplier of Lie algebras. Moreover, we prove some properties of a pair of nilpotent Lie algebras.

Keywords

• schur multiplier
• isoclinism
• nilpotent lie algebras
• primary 17b40
• secondary 17b30