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	1. eu_2-Lie admissible algebras and Steinberg unitary Lie Algebra
	Shang Shikui ,Gao Yun
	Mathematics 12 January 2010
	Show/Hide Abstract \| Cite this paper︱Full-text: PDF (0 B)

	Abstract:In this paper, we study the algebra eu_2(R,-,r) and give a necessary and sufficient condition for (R,-) such that eu_2(R,-,r) becomes a Lie algebra. Moreover, we define the Steinberg unitary Lie algebra stu_2(R,-,r), which is the universal covering of eu_2(R,-,r) when R is an eu_2-Lie admissible algebra satisfying some assumptions.Finally,we compute the second homology group of the Lie algebra eu_2(R,-,r).
	TO cite this article:Shang Shikui ,Gao Yun . eu_2-Lie admissible algebras and Steinberg unitary Lie Algebra[OL].[12 January 2010] http://en.paper.edu.cn/en_releasepaper/content/38829


	2. The lower dimensional cohomology of W(1,1) -module W(1,2,1)
	Kong Xiangqing,Yang Lina,Wu Na
	Mathematics 06 February 2009
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	Abstract: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 $W(1,2, underline{1})$.
	TO cite this article: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


	3. SELFINJECTIVE KOSZUL ALGEBRAS OF FINITE COMPLEXITY
	Guo Jinyun ,Li Aihua,Wu Qiuxian
	Mathematics 25 November 2008
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	Abstract:In this paper, we study selfinjective Koszul algebras of finite complexity. We prove that the complexity is a nonnegative integer when it is finite; and that the category $mathcal C_t$ of modules with complexity less or equal to $t$, is resolving and coresolving. We show that for each $0 le l le m$ there exist a family of modules of complexity $l$ parameterized by $G(l,m)$, the Grassmannian of $l$-dimensional subspaces of an $m$-dimensional vector space $V$, for the exterior algebra of $V$.
	TO cite this article:Guo Jinyun ,Li Aihua,Wu Qiuxian. SELFINJECTIVE KOSZUL ALGEBRAS OF FINITE COMPLEXITY[OL].[25 November 2008] http://en.paper.edu.cn/en_releasepaper/content/26057

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