| 二次李超三系的分解及唯一性 |
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| 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 |
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| 作者姓名： | 潘玉霞 张庆成 冯闪 王春月 |
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| 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 |
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| 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 |
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| 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.
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| 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 |
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| Authors: | PAN Yu-xia ZHANG Qing-cheng FENG Shan WNAG Chun-yue |
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| Affiliation: | 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) |
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| 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. |
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| Keywords: | quadratic Lie supertriple systems decomposition irreducibility nondegeneracy |
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