Characterization of finite dimensional nilpotent Lie algebras by the dimension of their Schur multipliers, $s(L)=5$

Abstract

It is known that the dimension of the Schur multiplier of a non-abelian nilpotent Lie algebra $L$ of dimension $n$ is equal to $\frac{1}{2}(n-1)(n-2)+1-s(L)$ for some $s(L)\ge 0$. The structure of all nilpotent Lie algebras has been given for $s(L)\le 4$ in several papers. Here, we are going to give the structure of all non-abelian nilpotent Lie algebras for $s(L)=5$.

To appear in Math. Report

References in corpus (4)

• Capable Lie algebras with the derived subalgebra of dimension two over an arbitrary field
• Some results on the Schur multiplier of nilpotent Lie algebras
• On the dimension of the Schur multiplier of nilpotent Lie algberas
• On characterizing nilpotent Lie algebra by their multiplier, $ s(L)=6, 7

Cited by in corpus (1)

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