| 具有非退化Killing型的广义李超代数 |
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| 引用本文： | 张佩华,张永正.具有非退化Killing型的广义李超代数[J].数学研究及应用,1995,15(5):91-96. |
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| 作者姓名： | 张佩华 张永正 |
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| 作者单位： | 山东信息工程学校;东北师范大学数学系 |
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| 摘 要： | 设F是特征数为零的域.本文证明了F上的有限维广义李超代数的Killing型是相容的、不变的与上对称的.进而证明了具有非退化Killing型的有限维广义李超代数的
若干性质，最后得出这种广义李超代数必为有限个典型的广义李超代数的直积.
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| 关 键 词： | 广义李超代数 Killing |
| 收稿时间： | 1993/7/13 0:00:00 |
Generalized Lie Superalgebras with Nondegenerate Killing Forms |
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| Zhang Peihua and Zhang Yongzheng.Generalized Lie Superalgebras with Nondegenerate Killing Forms[J].Journal of Mathematical Research with Applications,1995,15(5):91-96. |
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| Authors: | Zhang Peihua and Zhang Yongzheng |
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| Institution: | Shandong Information Engineering School;Dept. of Math., Northeast Normal University |
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| Abstract: | Let F be a field of characteristic zero. It is proved that the killing form of finite dimen-sional generalized Lie superalgebras over F is consistent,invariant and supersymmetric. The properties of generalized Lie superalgebras with nondegenerate killing forms are also discussed. |
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| Keywords: | generalized Lie superalgebras killing forms |
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