一类自入射Koszul特殊双列代数的Hochschild同调群

Hochschild Homology Groups of a Class of Self-Injective Koszul Special Biserial Algebras

基于Snashall与Taillefer构造的极小投射双模分解,用组合的方法,清晰地计算出一类自入射Koszul特殊双列代数∧_N的各阶Hochschild同调群的维数,从而以计算的方式直观地表明了韩阳的猜想对这类代数∧_N成立.

Based on the minimal projective bimodule resolution given by Snashall and Taillefer, we explicitly calculate the dimension of each Hochschild homology group of a class of self-injective Koszul special biserial algebras AN in terms of combinatorics, and thus show intuitively that the Han＇s conjecture holds true for AN by means of calculation.