| 一类李代数的滤过项的不变性 |
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| 引用本文： | 季莎,李金枝.一类李代数的滤过项的不变性[J].哈尔滨师范大学自然科学学报,2009,25(6):43-45. |
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| 作者姓名： | 季莎 李金枝 |
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| 作者单位： | 哈尔滨师范大学 |
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| 摘 要： | 研究了特征p〉3的域F上有限维广义Witt型李超代数和S型李超代数的偶部滤过的结构.通过讨论ad-幂零元的方法确定了标准滤过各项在自同构群下的不变性,从而得出W和S型李超代数偶部的标准滤过在自同构群下的不变性.
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| 关 键 词： | 李代数 滤过 ad-幂零元 |
The Invariance of Natural Filtration for some Lie Algebras |
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| Ji Sha,Li Jinzhi.The Invariance of Natural Filtration for some Lie Algebras[J].Natural Science Journal of Harbin Normal University,2009,25(6):43-45. |
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| Authors: | Ji Sha Li Jinzhi |
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| Institution: | (Harbin Normal University) |
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| Abstract: | Let F be a field of characteristic p3.g is a Lie algebra which is the even part of generalized Witt algebra or Special Lie algebra over.It is proved that the natural filtrations of the even part of generalized Witt algebra or Special Lie algebra over is invariant under their automorphism groups by means of investigating the ad-nilpotent elements. |
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| Keywords: | Lie aigebra Filtration ad-nilpotent elements |
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