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| 含重边星形箭图偏周期预投射代数的希尔伯特级数 | |
| 引用本文： | 吴春生. 含重边星形箭图偏周期预投射代数的希尔伯特级数[J]. 数学的实践与认识, 2013, 43(2) |
| 作者姓名： | 吴春生 |
| 作者单位： | 湘潭大学数学与计算科学学院,湖南湘潭411105;连云港师范高等专科学校数学系,江苏连云港222006 |
| 基金项目： | 湖南省研究生科研创新项目 |
| 摘 要： | 设△是一个有限无圈的箭图.引入了由△所决定的偏周期预投射代数,它是一个定义在周期为p的稳定平移箭图Z△/(rp)上的代数,记为Π_(Q(△,p),J).推广了Eting和Eu的方法并得到无圈的连通星形箭图△所决定的偏周期预投射代数Π_((Q(△,p)),J)的希尔伯特级数的计算公式. |
| 关 键 词： | 偏周期预投射代数 希尔伯特级数 平移箭图 星形箭图 |
Partial Period Preprojective Algebraic Hilbert Series of Star Quiver with Multi-edge |
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| WU Chun-sheng. Partial Period Preprojective Algebraic Hilbert Series of Star Quiver with Multi-edge[J]. Mathematics in Practice and Theory, 2013, 43(2) | |
| Authors: | WU Chun-sheng |
| Abstract: | Let△be a finite quiver without cycle.This paper introduces the concept of partial period preprojective algebra defined over△,which is a algebra defined on stable translation quiver Z△/(τ~p) of period p,denoted byΠ_((Q_(△,p)),J).We generalize Eting and Eu's way and obtain the formula of the Hilbert series of partial period preprojective algebraΠ_((Q(△,p)),J) decided by a connected and star quiver△without cycle. |
| Keywords: | partial period preprojective algebra Hilbert series translation quiver quiver of type star |
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