| 张知学,高瑞.李三系的Killing型[J].数学研究及应用,2009,29(4):745~752 |
| 李三系的Killing型 |
| The Killing Forms of Lie Triple Systems |
| 投稿时间：2007-05-16 修订日期：2008-04-16 |
| DOI：10.3770/j.issn:1000-341X.2009.04.022 |
| 中文关键词: 李三系 Killing型 复化. |
| 英文关键词:Lie triple system Killing form complexification. |
| 基金项目:河北省自然科学基金(Nos.A200500008; A2007000138). |
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| 中文摘要: |
| 对于特征零情形下的李三系, 利用其Killing型, 我们得到了李三系的半单性准则和可解性准则, 进而考察了实李三系$T_{0}$, $T_{0}$的复化$T$以及$T$的实化, 三者Killing型之间的关系. |
| 英文摘要: |
| 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 $T_{0}$, the complexification $T$ of $T_{0}$, and the realification of $T$. |
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