3 problems

Let $H$ be a semisimple Hopf algebra and let $A$ be a noetherian Artin–Schelter regular, connected graded algebra generated in degree one. Suppose that $A$ is a graded $H$-module a…

Let $B$ be a quantum polynomial ring and let $G$ be a finite subgroup of $\operatorname{Aut_{gr}}(B)$ such that the fixed subring $B^G$ has finite global dimension. For a positive…

Let $B$ be a quantum polynomial ring and let $G$ be a finite subgroup of $\operatorname{Aut_{gr}}(B)$. Noncommutative Shephard–Todd–Chevalley conjecture. The fixed subring $B^G$ ha…