Change of grading, injective dimension and dualizing complexes

Andrea Solotar, Pablo Zadunaisky

Let $G,H$ be groups, $\varphi :G\to H$ a group morphism, and $A$ a $G$-graded algebra. The morphism $\varphi$ induces an $H$-grading on $A$, and on any $G$-graded $A$-module, which th…