The structure of nilpotent Lie algebras of class two with derived subalgebra of dimension two (2003.12066v1)

Abstract: In this paper, the structure of all finite-dimensional nilpotent Lie algebras of class two with derived subalgebra of dimension two over an arbitrary field $ \mathbb{F} $ is determined. Furthermore, we give the structure of the Schur multiplier of such Lie algebras.