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Classification of 2-step nilpotent Lie algebras of dimension 9 with 2-dimensional center
Czechoslovak Mathematical Journal, Tome 67 (2017) no. 4, pp. 953-965 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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A Lie algebra $L$ is called 2-step nilpotent if $L$ is not abelian and $[L, L]$ lies in the center of $L$. 2-step nilpotent Lie algebras are useful in the study of some geometric problems, and their classification has been an important problem in Lie theory. In this paper, we give a classification of 2-step nilpotent Lie algebras of dimension 9 with 2-dimensional center.
A Lie algebra $L$ is called 2-step nilpotent if $L$ is not abelian and $[L, L]$ lies in the center of $L$. 2-step nilpotent Lie algebras are useful in the study of some geometric problems, and their classification has been an important problem in Lie theory. In this paper, we give a classification of 2-step nilpotent Lie algebras of dimension 9 with 2-dimensional center.
DOI : 10.21136/CMJ.2017.0253-16
Classification : 17B05, 17B30
Keywords: related set; basis; derivation 
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Ren, Bin; Zhu, Lin Sheng. Classification of 2-step nilpotent Lie algebras of dimension 9 with 2-dimensional center. Czechoslovak Mathematical Journal, Tome 67 (2017) no. 4, pp. 953-965. doi: 10.21136/CMJ.2017.0253-16

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