Realizing orbit categories as stable module categories: a complete classification (Q1702751)

The authors classify all triangulated orbit categories of path algebras of Dynkin diagrams that are triangle equivalent to the stable module category of a representation-finite standard self-injective algebra. They use Amiot's result that state that any finite, standard, connected, algebraic, triangulated category is triangle equivalent to \(D^b(k\Delta)/\Phi\) for some Dynkin diagram \(\Delta\) and autoequivalence \(\Phi\). Therefore the problem reduces from finding triangle equivalences to finding isomorphisms between translation quivers.