| 量子环面上的导子李代数模的导子 |
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| 引用本文： | 姜景连.量子环面上的导子李代数模的导子[J].山东大学学报(理学版),2013,48(6):46-50. |
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| 作者姓名： | 姜景连 |
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| 作者单位： | 武夷学院数学与计算机系, 福建 武夷山 354300 |
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| 基金项目： | 福建省教育厅A类科技项目 |
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| 摘 要： | 设q是p次本原单位根,L是两个变量的量子环面Cq上的导子李代数, W=Fαg (V)是由函子Fαg 作用在有限维gl2-模V上诱导的L-模。那么李代数L到其模W的导子除几种情形外都是内导子,且由此1-上同调群H1(L, W)在大多数情形下是平凡的。
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| 关 键 词： | 量子环面李代数 模 本原单位根 导子 |
| 收稿时间： | 2012-11-20 |
The derivations from the Lie algebra of derivations for quantum torus to its modules |
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| JIANG Jing-lian.The derivations from the Lie algebra of derivations for quantum torus to its modules[J].Journal of Shandong University,2013,48(6):46-50. |
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| Authors: | JIANG Jing-lian |
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| Institution: | Department of Mathematics and Computer, Wuyi University, Wuyishan 354300, Fujian, China |
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| Abstract: | Let q be a p th root of unity, and L be the derivation Lie algebra over the rank two quantum torus Cq. Let W=Fαg (V) be the L-module define by functor Fαg applied to a finite dimensional gl2-module V. Then the derivations from L to its modules W are most often inner, except for some case, and the first cohomology group H1(L, W) is most often trivial. |
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| Keywords: | Lie algebra over the quantum torus module root of unity derivation |
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