| 三维李三系的分类 |
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| 引用本文： | 史会峰,张知学. 三维李三系的分类[J]. 河北大学学报(自然科学版), 2001, 21(3): 328-329. DOI: 10.3969/j.issn.1000-1565.2001.03.028 |
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| 作者姓名： | 史会峰 张知学 |
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| 作者单位： | 1.华北电力大学计算科学与信息系； 2.河北大学数学与计算机学院 |
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| 基金项目： | The project is supportedby the Natural Science Foundation of Hebei Province(199100) |
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| 摘 要： | 证明了复数域上的三维不可解李三系可以写成一个2维的单纯子系和中心的直和.写出了三维不可解李三系的非零乘法表.通过计算结构常数,对三维可解李三系进行了分类,写出了它们的非零乘法表.
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| 关 键 词： | 李三系 乘法表 包络代数 自同构 |
| 文章编号： | 1000-1565(2001)03-0328-02 |
| 修稿时间： | 2000-10-17 |
Classification of 3_Dimensional Lie Triple Systems |
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| SHI Hui_feng ,ZHANG Zhi_xue. Classification of 3_Dimensional Lie Triple Systems[J]. Journal of Hebei University (Natural Science Edition), 2001, 21(3): 328-329. DOI: 10.3969/j.issn.1000-1565.2001.03.028 |
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| Authors: | SHI Hui_feng ZHANG Zhi_xue |
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| Affiliation: | SHI Hui_feng 1,ZHANG Zhi_xue 2 |
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| Abstract: | The authors prove that a non_solvable 3_dimensional Lie triple system can be written as the direct sum of a 2_dimensional simple subsystem and the its center.By this fact,the authors write out the multiplication tables of non_solvable Lie triple systems.Calculating their structure constants,the authors classify the 3 dimensional solvable Lie triple systems and write their multiplication tables for a basis. |
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| Keywords: | Lie triple system automorphism multiplication table enveloping algebra |
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