| 关于完备限制李超代数 |
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| 引用本文： | 陈良云,孟道骥. 关于完备限制李超代数[J]. 数学研究及应用, 2005, 25(2): 191-196 |
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| 作者姓名： | 陈良云 孟道骥 |
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| 作者单位： | 1. 哈尔滨工业大学数学系,黑龙江,哈尔滨,150001;东北师范大学数学系,吉林,长春,130024
2. 南开大学数学系,天津,300071 |
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| 基金项目： | Youth Science Foundation of Northeast Normal University (111494027) National Natural Science Foundation of China (10271076) |
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| 摘 要： | 我们分别给出了完备限制李超代数和强完备限制李超代数的一个充分必要条件,同时得到了一些完备限制李超代数的重要性质.
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| 关 键 词： | 完备限制李超代数 强完备限制李超代数 非退化Killing型 |
| 收稿时间： | 2003-07-15 |
Some Results on Completly Restricted Lie Superalgebras |
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| CHEN Liang-yun and MENG Dao-ji. Some Results on Completly Restricted Lie Superalgebras[J]. Journal of Mathematical Research with Applications, 2005, 25(2): 191-196 |
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| Authors: | CHEN Liang-yun and MENG Dao-ji |
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| Affiliation: | Dept. of Math., Institute of Technology University, Harbin 150006, China; Dept. of Math., Northeast Normal University, Changchun 130024, China;Dept. of Math., Nankai University, Tianjin 300071, China |
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| Abstract: | This paper is devoted to the study of completely restricted Lie superalgebras. We give some sufficient and necessary conditions for both completely restricted Lie superalgebras and strongly completely restricted Lie superalgebras. Some other important results on completely restricted Lie superalgebras are also obtained. |
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| Keywords: | completely restricted Lie superalgebras strongly completely restricted Lie superalgebras nondegenerate Killing form. |
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