Capable -Lie algebras and the classification of nilpotent -Lie algebras with

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• 作者：Hamid Darabi^a ; ^{darabi@iauesf.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; Farshid Saeedi^b ; ^{saeedi@mshdiau.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; Mehdi Eshrati^c ; ^{eshrati.me@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 17B05 ; secondary ; 17B30
• 刊名：Journal of Geometry and Physics
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：110
• 期：Complete
• 页码：25-29
• 全文大小：391 K

文摘

Darabi et al. (2016) associate to each ac0ba55d3cd20581636f82d23a918f3b" title="Click to view the MathML source">d$d$-dimensional nilpotent n$n$-Lie algebra A$A$, a number s(A)$s\left(A\right)$ where and M(A)$\mathcal{M}\left(A\right)$ denotes the multiplier of A$A$. They prove that s(A)$s\left(A\right)$ is non-negative and classify all nilpotent n$n$-Lie algebras A$A$ for which s(A)=0,1,2$s\left(A\right)=0,1,2$. In this paper, we will classify all capable n$n$-Lie algebras with 1-dimensional derived subalgebra and apply it to obtain a classification of those nilpotent n$n$-Lie algebras satisfying s(A)=3$s\left(A\right)=3$.