| 泛包络三系 |
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| 引用本文： | 董艳芹,傅德友,孟凡洪. 泛包络三系[J]. 长春师范学院学报, 2009, 0(6) |
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| 作者姓名： | 董艳芹 傅德友 孟凡洪 |
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| 作者单位： | 空军航空大学基础部; |
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| 摘 要： | 本文在李代数的泛包络代数的基础上,定义了李三系的泛包络三系,研究了李三系的泛包络三系的性质,并给出其存在性定理,进而把在模李代数中非常重要的P-B-W定理推广到了特征0李三系上.
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| 关 键 词： | 李三系 泛包络代数 泛包络三系 |
The Universal Enveloping Triple System |
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| DONG Yan-qin,FU De-you,MENG Fan-hong. The Universal Enveloping Triple System[J]. Journal of Changchun Teachers College, 2009, 0(6) |
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| Authors: | DONG Yan-qin FU De-you MENG Fan-hong |
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| Affiliation: | Aviation University of Air Force;Changchun 130024;China |
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| Abstract: | In this paper,we defined universal enveloping triple systems of Lie triple systems,discussed the properties of universal enveloping triple systems of Lie triple systems,and gave out its existence theorem.Furthermore,we generalized the P-B-W theorem of modular Lie algebra to Lie triple systems. |
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| Keywords: | Lie triple systems universal enveloping algebra universal enveloping triple systems |
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