Simple $$\omega $$ω-Lie Algebras and 4-Dimensional $$\omega $$ω-Lie Algebras Over $${\mathbb {C}}$$C
Simple $$\omega $$ω-Lie Algebras and 4-Dimensional $$\omega $$ω-Lie Algebras Over $${\mathbb {C}}$$C
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DOI：
10.1007/s40840-015-0120-6
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发表时间：
2017-11
影响因子：
1.2
通讯作者：
Yin Chen;Runxuan Zhang
中科院分区：
文献类型：
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作者：
Yin Chen;Runxuan Zhang
本文主要研究复数域上的单李代数和四维李代数。我们提供了一种方法来分类所有的四维非李复李代数。证明了任意非李有限维单李代数的维数为3。一个完整的列表，所有的非李复单李代数也来自。
In this paper, we study simple-Lie algebras and 4-dimensional-Lie algebras over the field of complex numbers. We provide an approach to classify all 4-dimensional non-Lie complex-Lie algebras. We prove that any non-Lie finite-dimensional simple-Lie algebra has dimension 3. A complete list of all non-Lie complex simple-Lie algebras is also derived.