| 李三系广义导子的直和分解 |
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| 引用本文： | 赵冠华.李三系广义导子的直和分解[J].西南师范大学学报(自然科学版),2004,29(6):908-910. |
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| 作者姓名： | 赵冠华 |
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| 作者单位： | 邯郸学院,数学系,河北,邯郸,056005 |
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| 摘 要： | 将李代数的广义导子的概念推广到李三系中.证明了他们构成一个李代数;当中心为{0}时,若李三系有 直和分解,则其广义导子代数也有直和分解.
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| 关 键 词： | 李三系 广义导子 直和分解 |
| 文章编号： | 1000-5471(2004)06-0908-03 |
| 修稿时间： | 2003年10月29 |
On the Decomposition Into Direct Sum of Generalized Derivations of Lie Triple Systems |
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| ZHAO Guan-hua Dept. of Mathematics,Handan College,Handan Hebei ,China.On the Decomposition Into Direct Sum of Generalized Derivations of Lie Triple Systems[J].Journal of Southwest China Normal University(Natural Science),2004,29(6):908-910. |
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| Authors: | ZHAO Guan-hua Dept of Mathematics Handan College Handan Hebei China |
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| Institution: | ZHAO Guan-hua Dept. of Mathematics,Handan College,Handan Hebei 056005,China |
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| Abstract: | The paper introduces the generalized derivations of Lie triple systems by popularizing that of Lie algebras. It is obtained that the generalized derivations of Lie triple systems form a Lie algebra and can be decomposed into direct sum when the Lie triple systems with center being zero is decomposed into direct sum. |
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| Keywords: | Lie triple systems generalized derivations decomposition into direct sum |
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