Shahrood University of Technology Journal of Algebraic Systems 2345-5128 14 2 2026 04 01 CAPABILITY OF LOW-DIMENSIONAL NILPOTENT 3-LIE ALGEBRAS 281 295 3737 10.22044/jas.2024.13818.1773 EN Hamid Darabi Department of Mathematics, Esfarayen University of Technology, Esfarayen, Iran. Journal Article 2023 11 10 In this paper, we characterize the capability of nilpotent n- Lie algebras of dimension<br />at most n + 3 over an arbitrary field when n > 2$ and the capability of 7 -<br />dimensional nilpotent 3 -Lie algebras over field $\mathcal {K} $ with $char \mathcal {K}<br />\ ne 2$. capable n-Lie algebra nilpotent n-Lie algebra multiplier https://jas.shahroodut.ac.ir/article_3737_8b7da69f5189e14a53731fa77bb251a0.pdf