| 约化李三系 |
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| 引用本文： | 张知学,潘淑杰. 约化李三系[J]. 河北大学学报(自然科学版), 2006, 26(2): 120-122 |
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| 作者姓名： | 张知学 潘淑杰 |
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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;河北大学,数学与计算机学院,河北,保定,071002 |
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| 摘 要： | 给出了约化李三系的定义,在此基础上得到了李三系的约化与它的标准嵌入李代数的约化的对应关系:李三系是约化的当且仅当其标准嵌入李代数是约化的,并进一步证明了李三系是约化的等价条件.
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| 关 键 词： | 李三系 约化李三系 标准嵌入李代数 |
| 文章编号： | 1000-1565(2006)02-0120-03 |
| 修稿时间： | 2005-03-20 |
Reductive Lie Triple Systems |
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| ZHANG Zhi-xue,PAN Shu-jie. Reductive Lie Triple Systems[J]. Journal of Hebei University (Natural Science Edition), 2006, 26(2): 120-122 |
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| Authors: | ZHANG Zhi-xue PAN Shu-jie |
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| Abstract: | The concept of reductive Lie triple systems is defined,and the relationship between the reductivity of Lie triple systems and its standard imbedding Lie algebras is obtained: A Lie triple system is reductive if and only if its standard imbedding Lie algebra is reductive.The equivalence of reductive Lie triple systems is examined. |
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| Keywords: | Lie triple systems reductive Lie triple systems the standard imbedding Lie algebra |
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