Classification of 2-step nilpotent Lie algebras of dimension 9 with 2-dimensional center

Czechoslovak Mathematical Journal

Ren Bin, Zhu Lin Sheng¹ 

关键词: related set;    basis;    derivation;   

DOI  :  10.21136/CMJ.2017.0253-16

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

  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.

【 授权许可】

Unknown