极小Wild系统箭图代数的Hochschild上同调群

Hochschild Cohomology Groups of Minimal Wild System Quiver Algebras

设Γj=kQ/Ij是极小Wild表示型系统箭图代数,基于Bardzell的方法构造了Γj的极小投射双模分解,并由此清晰地计算了Γj的各阶Hochschild上同调群的维数。

Let Γj=kQ/Ij be system quiver algebras of minimal wild representation types.The minimal projective bimodule resolutions of Γj are constructed by the method of Bardzell,which are used to calculate the dimensions of all the Hochschild cohomology groups explicitly.