星形箭图偏周期预投射代数的Hilbert级数

设△是一个有限无圈的箭图.引入了由Δ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△/(τ~p)上的代数,记为Π_(Q(Δ,p),J).当周期p=1时,偏周期预投射代数就是偏预投射代数.我们推广了Eting和Eu的方法并得到无圈的星形箭图△所决定的偏周期预投射代数Π_((Q(Δ,p)),J)的Hilbert级数的计算公式.

Partial Period Preprojective Algebra's Hilbert Series of Star Quiver

LetΔbe a finite quiver without cycle.This paper introduces the concept of partial period preprojective algebra defined overΔ,which is a algebra defined on stable translation quiver ZΔ/(τ~p) of period p,denoted byΠ_((Q(Δ,p)),J).when p = 1,partial period preprojective algebra is just partial preprojective algebra.We generalize Eting and Eu's way and obtain the formula of the Hilbert series of partial period preprojective algebraΠ_((Q(Δ,p)),J) decided by a star quiverΔ.