Hochschild cohomology of some quantum complete intersections

Karin Erdmann, Magnus Hellstrøm-Finnsen

We compute the Hochschild cohomology ring of the algebras $A=k⟨X,Y⟩/(X^a,XY-qYX,Y^a)$ over a field $k$ where $a\ge 2$ and where $q\in k$ is a primitive $a$-th ro…