| 点YD-李代数的Killing型 |
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| 引用本文： | 张寿传,许艳歌,吴淑艳,古效鸣. 点YD-李代数的Killing型[J]. 湖南大学学报(自然科学版), 2007, 34(7): 86-88 |
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| 作者姓名： | 张寿传 许艳歌 吴淑艳 古效鸣 |
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| 作者单位： | 湖南大学,数学与计量经济学院,湖南,长沙,410082;株洲师范高等学校,数学系,湖南,株洲,412007 |
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| 摘 要： | 利用Killing型来判断点YD-李代数的半单性,得出了如下结论:如果有限维点YD-李代数L的Killing型是非退化的,那么L是半单的,并且L是它本身的所有极小YD-理想的直和;这些极小YD-理想所对应的Killing型两两正交.
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| 关 键 词： | 点YD-李代数 Killing型 半单性 |
| 文章编号： | 1000-2472（2007）07-00086-03 |
| 修稿时间： | 2006-10-19 |
The Killing Forms of Pointed YD Lie Algebras |
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| ZHANG Shou-chuan,XU Yan-ge,WU Shu-yan,GU Xiao-ming. The Killing Forms of Pointed YD Lie Algebras[J]. Journal of Hunan University(Naturnal Science), 2007, 34(7): 86-88 |
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| Authors: | ZHANG Shou-chuan XU Yan-ge WU Shu-yan GU Xiao-ming |
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| Abstract: | The semisimplicity of pointed YD Lie algebras was characterized by means of Killing forms.It has been shown that if finite dimensional pointed YD Lie algebras L has a nondegenerate Killing forms,then L is semisimple and equals to the direct sum of its minimal pointed YD Lie ideals, and the Killing forms of the pointed YD Lie ideals are pairwise orthogonal. |
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| Keywords: | pointed YD Lie algebras Killing forms semisimplicity |
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