期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Structures of a Class of 6-dimensional 3-Lie Algebras
摘要/Abstract
摘要：
研究了特征为0的代数闭域上导代数维数为1的6维3-李代数的结构.对3-李代数的可解性、幂零性及内导子代数的结构进行了研究，给出了每个内导子的具体表达形式，且证明了特征为0的代数闭域上导代数维数为1的6维3-李代数上不存在度量结构.
Abstract：
The paper studies the structure of 6-dimensional 3-Lie algebras with one-dimensional derived algebras over an algebraically closed field of characteristic zero.The solvability,nilpotency,and the structures of inner derivation algebras are discussed,the concrete expression of any inner derivation is provided.It is also proved that there does not exist metric structures on the 6-dimensional 3-Lie algebras with one-dimensional derived algebras.
关键词
Key words：
3-Lie algebra
;
solvability
;
nilpotency
;
inner derivation
;
metric 3-Lie algebra
参考文献 10
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