| sl(2,F)PBW定理的另一种证明 |
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| 引用本文： | 杨丽娜,吴娜,孔祥青.sl(2,F)PBW定理的另一种证明[J].大学数学,2010,26(4). |
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| 作者姓名： | 杨丽娜 吴娜 孔祥青 |
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| 摘 要： | 设F是任意域,L是F上任意一个李代数,文献1]给出了关于L的PBW定理及证明.本文对L=sl(2,F)我们给出了PBW定理的另一种证明方法.
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| 关 键 词： | sl(2 F) 张量代数 普通包络代数 PBW定理 |
Another Proof of PBW Theorem for sl[2,F] |
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| YANG Li-na,WU Na,KONG Xiang-qing.Another Proof of PBW Theorem for sl[2,F][J].College Mathematics,2010,26(4). |
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| Authors: | YANG Li-na WU Na KONG Xiang-qing |
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| Abstract: | Let F is an arbitrary field,L is a lie algebra over F,literature1] has been given the theorem of PBW and its proof about L. In this paper,we give another proof of PBW Theorem for sl(2,F). |
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| Keywords: | sl(2 F) tensor algebra universal enveloping algebra PBW theorem |
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