The lower dimensional cohomology of W(1,1) -module W(1,2,1)

Kong Xiangqing; Yang Lina; Wu Na

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The lower dimensional cohomology of W(1,1) -module W(1,2,1)

Kong Xiangqing *,Yang Lina,Wu Na

Department of Mathematics, China University of Mining and

*Correspondence author

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Funding: none

Opened online: 6 February 2009

Accepted by: none

Citation: Kong Xiangqing,Yang Lina,Wu Na.The lower dimensional cohomology of W(1,1) -module W(1,2,1)[OL]. [ 6 February 2009] http://en.paper.edu.cn/en_releasepaper/content/28535

Let $K$ be an algebraically closed field with $charK=p geq 3$. Let $W(1, underline{1})$ be the restricted Witt algebra, $W(1,2, underline{1})$ be the restricted Witt-type Lie superalgebra. Then $W(1,2, underline{1})$ is a $W(1, underline{1})$-module. In this paper we compute the lower dimensional cohomology of W(1, underline{1})-module $W(1,2, underline{1})$.

Keywords:Cohomology of Lie Algebras;Derivations;Divided Power Algebra;Grassmann Algebra

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