| 关于完满的Lie超代数 |
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| 引用本文： | 张润萱,陈良云,张永正. 关于完满的Lie超代数[J]. 东北数学, 2008, 24(6): 492-502 |
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| 作者姓名： | 张润萱 陈良云 张永正 |
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| 作者单位： | |
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| 摘 要： | In this paper, some properties of perfect Lie superalgebras are investigated. We prove that the derivation superalgebra of a centerless perfect Lie superalgebra of arbitrary dimension over a field of arbitrary characteristic is complete and we obtain a necessary and sufficient condition for the holomorph of a centerless perfect Lie superalgebra to be complete. Finally, some properties of perfect restricted Lie superalgebras are given.
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| 关 键 词： | 限制李超代数 充分必要条件 全形 |
On Perfect Lie Superalgebras |
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| ZHANG Run-xuan,CHEN Liang-yun,ZHANG Yong-zheng. On Perfect Lie Superalgebras[J]. Northeastern Mathematical Journal, 2008, 24(6): 492-502 |
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| Authors: | ZHANG Run-xuan CHEN Liang-yun ZHANG Yong-zheng |
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| Affiliation: | [1]Chern Institute of Mathematics, Nankai University, Tianjin, 300071 [2]School of Mathematics and Statistics, Northeast Normal University, Changchun,130024 |
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| Abstract: | In this paper, some properties of perfect Lie superalgebras are investi-gated. We prove that the derivation superalgebra of a centerless perfect Lie superal-gebra of arbitrary dimension over a field of arbitrary characteristic is complete and we obtain a necessary and sufficient condition for the holomorph of a centerless perfect Lie superalgebra to be complete. Finally, some properties of perfect restricted Lie superalgebras are given. |
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| Keywords: | perfect Lie superalgebra complete Lie superalgebra holomorph |
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