q-类似Virasoro-like代数模的导子  

The Derivations from The q-analog of the Virasoro-like Algebra to its Modules

作　　者：温琴珠[1] 

机构地区：[1]华侨大学数学科学学院,福建泉州362021

出　　处：《数学研究》2010年第3期293-300,共8页Journal of Mathematical Study

摘　　要：记L_q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,L_q就是q-类似Virasoro-like代数.本文给出了文中构造的L_q的模上的导子及一上同调群H^1(L_q,M).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 paper[1],and give the first cohomology group H^1（Lq,M）.

关 键 词：q-类似Virasoro-like代数 导子 一上同调群 

分 类 号：O153.3[理学—数学]