Hochschild cohomology related to graded down-up algebras with weights $(1,n)$

Ayako Itaba, Kenta Ueyama

Let $A=A(\alpha ,\beta )$ be a graded down-up algebra with $(\mathrm{deg}x,\mathrm{deg}y)=(1,n)$ and $\beta \ne 0$, and let $\nabla A$ be the Beilinson algebra of $A$. If $n=1$, then a descriptio…