| 与Virasoro代数密切相关的非有限分次李代数的导子 |
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| 引用本文： | 戴先胜,辛斌.与Virasoro代数密切相关的非有限分次李代数的导子[J].贵州师范大学学报(自然科学版),2011,29(4):50-53. |
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| 作者姓名： | 戴先胜 辛斌 |
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| 作者单位： | 贵州师范大学数学与计算机科学学院,贵州贵阳,550001 |
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| 基金项目： | 贵州省教育厅自然科学基金(黔教科基金(2007021)); 贵州省科技基金(黔科会[20092265]) |
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| 摘 要： | 设L是复向量空间，它有一组基{Li｜i∈Z}，在基元上定义括积为：Lm，Lm]=（m-n）（Lm＋n＋Lm＋n-2），m，n∈Z，这是一个李代数．我们确定了这个代数的导子都是内导子，即其一阶上同调群是平凡的．
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| 关 键 词： | 非有限分次 导子 Virasoro代数 |
Derivations of a non-finite graded Lie algebra closely related to the Virasoro Algebra |
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| DAI Xian-sheng,XIN Bin.Derivations of a non-finite graded Lie algebra closely related to the Virasoro Algebra[J].Journal of Guizhou Normal University(Natural Sciences),2011,29(4):50-53. |
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| Authors: | DAI Xian-sheng XIN Bin |
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| Institution: | DAI Xian-sheng,XIN Bin(School of Mathematics and Computer Science,Guizhou Normal University,Guiyang,Guizhou 550001,China) |
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| Abstract: | Let L be a complex vector space with basis { Li ｜ i ∈ Z } ,relations are Lm,Ln] = （m - n） （Lm＋n ＋ Lm＋n-2） ,m,n ∈ Z. we prove in the present paper that the derivations of this Lie algebra are all inner. In other words, the first cohomology of this algebra is trivial. |
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| Keywords: | non-finite graded derivation Virasoro algebra |
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