| The Realization of 4-dimensional 3-Lie Algebras |
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| 引用本文： | 刘建波 张艳艳 张知学. The Realization of 4-dimensional 3-Lie Algebras[J]. 东北数学, 2007, 23(3): 247-254 |
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| 作者姓名： | 刘建波 张艳艳 张知学 |
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| 作者单位： | [1]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080 [2]Department of Mathematics, Hebei University, Baoding, 071002 |
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| 摘 要： |
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| 关 键 词： | 量子群 李群 解题方法 李代数 |
| 文章编号： | 1000-1778（2007）03-0247-08 |
| 收稿时间： | 2006-05-08 |
| 修稿时间： | 2006-05-08 |
The Realization of 4-dimensional 3-Lie Algebras |
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| LIU Jian-bo , ZHANG Yan-yan, and ZHANG Zhi-xue. The Realization of 4-dimensional 3-Lie Algebras[J]. Northeastern Mathematical Journal, 2007, 23(3): 247-254 |
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| Authors: | LIU Jian-bo ZHANG Yan-yan ZHANG Zhi-xue |
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| Affiliation: | 1.Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080;2.Department of Mathematics, Hebei University, Baoding, 071002 |
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| Abstract: | In this paper, we mainly investigate the realization of 3-Lie algebras from a family of Lie algebras. We prove the realization theorem, offer a concrete example realizing all type of 4-dimensional 3-Lie algebras, and also give some properties about semi-simple n-Lie algebras. |
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| Keywords: | 4-dimensional 3-Lie algebra realization semi-simple n-Lie algebra |
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