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SELFINJECTIVE KOSZUL ALGEBRAS OF FINITE COMPLEXITY
Guo Jinyun 1 * #,Li Aihua 2,Wu Qiuxian 2
1.Department of Mathematics,Xiangtan University
2.Department of Mathematics, Hunan Normal University
*Correspondence author
#Submitted by
Subject:
Funding: 国家自然科学基金,教育部博士点基金等,教育部创新基金（No.10371036,200505042004,21000115）
Opened online:25 November 2008
Accepted by: none
Citation: 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
 
 
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 $V$.
Keywords:selfinjective Koszul algebras;complexity;Grassmannian
 
 
 

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