| 李三系的Killing型 |
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| 引用本文： | 张知学,高瑞.李三系的Killing型[J].数学研究及应用,2009,29(4):745-752. |
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| 作者姓名： | 张知学 高瑞 |
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| 作者单位： | 河北大学数学与计算机学院, 河北 保定 071002;沧州师范专科学校数学系, 河北 沧州 061000 |
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| 基金项目： | 河北省自然科学基金(Nos.A200500008; A2007000138). |
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| 摘 要： | For Lie triple systems in the characteristic zero setting, we obtain by means of the Killing forms two criterions for semisimplicity and for solvability respectively, and then investigate the relationship among the Killing forms of a real Lie triple system To, the complexification T of To, and the realification of T.
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| 关 键 词： | 李三角系统 特性 可解性 复化 |
| 收稿时间： | 2007/5/16 0:00:00 |
| 修稿时间： | 2008/4/16 0:00:00 |
The Killing Forms of Lie Triple Systems |
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| ZHANG Zhi Xue and GAO Rui.The Killing Forms of Lie Triple Systems[J].Journal of Mathematical Research with Applications,2009,29(4):745-752. |
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| Authors: | ZHANG Zhi Xue and GAO Rui |
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| Institution: | 1. Institute of Mathematics and Computers, Hebei University, Hebei 071002, China
2. Department of Mathematics, Cangzhou Teacher's College, Hebei 061000, China |
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| Abstract: | For Lie triple systems in the characteristic zero setting, we obtain by means of the Killing forms two criterions for semisimplicity and for solvability respectively, and then investigate the relationship among the Killing forms of a real Lie triple system $T_{0}$, the complexification $T$ of $T_{0}$, and the realification of $T$. |
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| Keywords: | Lie triple system Killing form complexification |
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