Auslander's Theorem for dihedral actions on preprojective algebras of type A

Jacob Barahona Kamsvaag, Jason Gaddis

Given an algebra $R$ and $G$ a finite group of automorphisms of $R$, there is a natural map ${\eta }_{R,G}:R\#G\to {\mathrm{End}}_{R^G}R$, called the Auslander map. A theorem of Auslande…