| 关于李三代数的幂零性 |
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| 作者姓名： | WANG Gui-dong |
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| 作者单位： | Institute of Applied Mathematics，Academy of Mathematics and Systems Science，Chinese Academy of Sciences，Beijing 100080，China; Graduate School of the Chinese Academy of Sciences，Beijing 100039，China |
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| 基金项目： | Supported by NKBRPC(2004CB31800)；；Supported by NNSFC(10375087) |
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| 摘 要： | In this paper, we mainly concerned about the nilpotence of Lie triple algebras. We give the definition of nilpotence of the Lie triple algebra and obtained that if Lie triple algebra is nilpotent, then its standard enveloping Lie algebra is nilpotent.
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| 关 键 词： | 李三代数 幂零性 可解性 线性代数 |
| 文章编号： | 1002-0462（2005）04-0423-07 |
| 收稿时间： | 2005-04-15 |
The Nilpotency of Lie Triple Algebras |
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| WANG Gui-dong.The Nilpotency of Lie Triple Algebras[J].Chinese Quarterly Journal of Mathematics,2005,20(4):423-429. |
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| Authors: | WANG;Gui-dong |
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| Abstract: | In this paper, we mainly concerned about the nilpotence of Lie triple algebras. We give the definition of nilpotence of the Lie triple algebra and obtained that if Lie triple algebra is nilpotent, then its standard enveloping Lie algebra is nilpotent. |
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| Keywords: | Lie triple algebra solvability nilpotence |
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