| 三角导子李代数的中心扩张 |
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| 引用本文： | 李春明,徐萍.三角导子李代数的中心扩张[J].数学研究及应用,2012,32(5):561-570. |
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| 作者姓名： | 李春明 徐萍 |
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| 作者单位： | 黑龙江大学数学系, 黑龙江 哈尔滨 150080;黑龙江大学数学系, 黑龙江 哈尔滨 150080 |
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| 基金项目： | 国家自然科学基金(Grant No.11171294),黑龙江省自然科学基金(Grant No.A201013),黑龙江教育厅基金(Grant No.11541268). |
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| 摘 要： | In this paper,we study a class of subalgebras of the Lie algebra of vector fields on n-dimensional torus,which are called the Triangular derivation Lie algebra.We give the structure and the central extension of Triangular derivation Lie algebra.
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| 关 键 词： | triangular derivation Lie algebra central extension 2-cocycle. |
| 收稿时间： | 2010/10/23 0:00:00 |
| 修稿时间： | 2011/8/31 0:00:00 |
Central Extension for the Triangular Derivation Lie Algebra |
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| Chunming LI and Ping XU.Central Extension for the Triangular Derivation Lie Algebra[J].Journal of Mathematical Research with Applications,2012,32(5):561-570. |
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| Authors: | Chunming LI and Ping XU |
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| Institution: | Department of Mathematics, Heilongjiang University, Heilongjiang 150090, P. R. China;Department of Mathematics, Heilongjiang University, Heilongjiang 150090, P. R. China |
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| Abstract: | In this paper, we study a class of subalgebras of the Lie algebra of vector fields on $n$-dimensional torus, which are called the Triangular derivation Lie algebra. We give the structure and the central extension of Triangular derivation Lie algebra. |
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| Keywords: | triangular derivation Lie algebra central extension $2$-cocycle |
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