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| 二次李超三系的分解及唯一性 | |
| 引用本文： | 潘玉霞,张庆成,冯闪,王春月.二次李超三系的分解及唯一性[J].东北师大学报(自然科学版),2012,44(2):9-13. |
| 作者姓名： | 潘玉霞 张庆成 冯闪 王春月 |
| 作者单位： | 1. 石家庄财经职业学院基础部,河北石家庄,050061 2. 东北师范大学数学与统计学院,吉林长春,130024 3. 吉林工程技术师范学院应用理学院,吉林长春,130052 |
| 基金项目： | 国家自然科学基金资助项目，吉林省教育厅"十一五"课题 |
| 摘 要： | 研究了二次李超三系的分解及唯一性问题,讨论了二次李超三系的唯一分解,得到了二次李超三系分解为非退化不可约阶化理想的分解定理,从而使李超三系与二次李超三系理论得到了进一步的完善. |
| 关 键 词： | 二次李超三系 分解 不可约 非退化 |
The uniqueness of the decomposition of quadratic Lie supertriple systems |
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| PAN Yu-xia , ZHANG Qing-cheng , FENG Shan , WNAG Chun-yue.The uniqueness of the decomposition of quadratic Lie supertriple systems[J].Journal of Northeast Normal University (Natural Science Edition),2012,44(2):9-13. | |
| Authors: | PAN Yu-xia ZHANG Qing-cheng FENG Shan WNAG Chun-yue |
| Institution: | PAN Yu-xia1,ZHANG Qing-cheng2,FENG Shan1,WNAG Chun-yue3(1.Based Department,Shijiazhuang Foreign Trade Vocational College,Shijiazhuang 050061,China; 2.School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China; 3.School of Applied Sciences,Jilin Teachers Institute of Engineering and Technology,Changchun 130052,China) |
| Abstract: | This paper is about the uniquenes of the decomposition of quadratic Lie supertriple systems,the decompositions of quadratic Lie supertriple systems are discussed.Moreover,the decomposition theorems of a quadratic Lie supertriple systems into non-degenerate irreducible graded ideal are established.Thus making the Lie supertriple systems and quadratic Lie supertriple systems theory has been further perfected. |
| Keywords: | quadratic Lie supertriple systems decomposition irreducibility nondegeneracy |
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