期刊信息
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- 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
The Metric Structure of 3-Lie Algebras
摘要/Abstract
摘要:
研究了特征为2的完备域上5维3-李代数的度量结构,证明了在特征为2的完备域上5维度量3-李代数的导代数维数一定等于4.在导代数维数等于4的5维3-李代数中,任意不变双线性型都是对称不变双线性型,且在F是二元域时,度量维数等于1,在非二元域时度量维数等于2.
Abstract:
The structure of 5 dimensional metric 3-Lie algebras is studied.It is proved that the 5 dimensional metric 3-Lie algebras have the 4 diemnsional derived algebra,and every invariant bilinear form is symmetric,furthermore the metric dimension is 1 if F with only two elements,and is 2 in others.
关键词
Key words:
3-Lie algebra
;
invariant bilinear form
;
derived algebra
;
metric