Iterated tilted algebras of type \({\tilde {\mathbb A}}_ n\) (Q1080926)

We classify the iterated tilted algebras of type \({\tilde {\mathbb{A}}}_ n\), that is to say, those algebras which come from a hereditary algebra of type \({\tilde {\mathbb{A}}}_ n\) by a finite number of tilts. These algebras are classified by their bound quivers using the representation theory of biserial algebras, tilting theory and covering techniques. In the representation-finite case, we also give a characterization of these algebras in terms of Auslander-Reiten quivers.