On characterizing nilpotent Lie algebra by their multiplier, $ s(L)=6, 7

Abstract

Let $L$ be an $n$-dimensional non-abelian nilpotent Lie algebra and $s(L)=\frac{1}{2}(n-1)(n-2)+1-\dim \mathcal{M}(L)$ where $\mathcal{M}(L)$ is the Schur multiplier of a Lie algebra $L.$ The structures of nilpotent Lie algebras $L$ when $s(L)\in \{0,1,2,3,4,5\}$ are determined. In this paper, we classify all non-abelian nilpotent Lie algebras $L$ when $s(L)=6,7.$

References in corpus (3)

• Capability of nilpotent Lie algebras of small dimension
• The structure of nilpotent Lie algebras of class two with derived subalgebra of dimension two
• On the Schur $\mathsf{Lie}$-multiplier and $\mathsf{Lie}$-covers of Leibniz $n$-algebras