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arXiv · 2208.07858

On the pair of nilpotent Lie algebras

Mostafa Sajedi·Mohammad Reza R. Moghaddam
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Abstract

Let $(N,L)$ be a pair of finite dimensional nilpotent Lie algebras and $N$ admits a complement $K$ in $L$ such that $\dim N=n$ and $\dim K=m$. Let $s(N,L)=\frac{1}{2}(n-1)(n-2)+1+(n-1)m-\dim \M(N,L)$, where $\M(N,L)$ denotes the multiplier of the pair $(N,L)$. The aim of this paper is to classify all pairs of finite dimensional nilpotent Lie algebras $(N,L)$, for which $s(N,L)=6,7$.

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Mostafa Sajedi, Mohammad Reza R. Moghaddam. 2022-08-16. On the pair of nilpotent Lie algebras. https://arxiv.org/abs/2208.07858

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