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q-类似Virasoro-like代数模的导子
引用本文:温琴珠.q-类似Virasoro-like代数模的导子[J].数学研究,2010,43(3):293-300.
作者姓名:温琴珠
作者单位:华侨大学数学科学学院,福建,泉州362021
摘    要:记Lq为两个变量的量子环面上的斜导子李代数,当0≠q∈C为非单位时,Lq就是q-类似Virasoro-like代数.本文给出了文中构造的Lq的模上的导子及一上同调群H^1(Lq,M).

关 键 词:q-类似Virasoro-like代数  导子  一上同调群

The Derivations from The q-analog of the Virasoro-like Algebra to its Modules
Wen Qinzhu.The Derivations from The q-analog of the Virasoro-like Algebra to its Modules[J].Journal of Mathematical Study,2010,43(3):293-300.
Authors:Wen Qinzhu
Institution:Wen Qinzhu (School of Mathematical Science,Huaqiao University,Quanzhou Fujian 362021)
Abstract:Denote the skew derivation Lie algebra over the rank 2 quanturn torus by Lq.If 0≠q∈C is not a root of unity,then Lq is a q- analog of the Virasoro-like algebra.In this paper,we determine the derivations from Lq to Lq-modules M given in paper1],and give the first cohomology group H^1(Lq,M).
Keywords:q-analog of the Virasoro-like algebra  Derivation  Cohomology group
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