| 无限维非单李超代数W和S |
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| 引用本文： | 张秀强.无限维非单李超代数W和S[J].哈尔滨师范大学自然科学学报,2009,25(6):49-51,58. |
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| 作者姓名： | 张秀强 |
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| 作者单位： | 哈尔滨师范大学 |
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| 摘 要： | 设F是特征p〉3的域,g是F上外代数与无限维广义W itt代数或特殊李代数的张量积所构成的无限维非单李超代数.通过确定ad幂零元的方法证明了g的标准滤过不变性.
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| 关 键 词： | 李超代数 滤过 ad幂零元. |
Filtrations of the Non-simple Lie Superalgebras W and S |
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| Zhang Xiuqiang.Filtrations of the Non-simple Lie Superalgebras W and S[J].Natural Science Journal of Harbin Normal University,2009,25(6):49-51,58. |
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| Authors: | Zhang Xiuqiang |
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| Institution: | Zhang Xiuqiang(Harbin Normal University) |
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| Abstract: | Let F be a field and char F=p 3.Let g denote the Lie superalgebra which is the tensor product of the exterior superalgebra and the infinite-dimensional generalized Witt algebra or special Lie algebra over F,In this paper it is proved that the standard filtration of the non-simple Lie superalgebra g is invariant by means of investigating the ad nilpotent elements. |
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| Keywords: | Lie superalgebra Filtration ad nilpotent element |
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