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arXiv · 2111.07172

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

A. Shamsaki·P. Niroomand
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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 \lbrace 0,1,2,3,4,5\rbrace $ are determined. In this paper, we classify all non-abelian nilpotent Lie algebras $ L $ when $ s(L)=6,7. $

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A. Shamsaki, P. Niroomand. 2021-11-13. On characterizing nilpotent Lie algebra by their multiplier, $ s(L)=6, 7. https://doi.org/10.1007/s00025-022-01616-5

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