In my PhD thesis I am studying the Auslander-Reiten theory of a particular class of wild algebras. My question is:
Are there instances of algebras/categories, where the Auslander-Reiten theory of a wild algebra is understood (in the sence that one knows which shapes of components occur) beside the following:
- Hereditary algebras (Ringel: Finite dimensional hereditary algebras of wild representation type)
- Canonical algebras and coherent sheaves on a weighted projective line (Lenzing, de la Peña: Wild canonical algebras)
- Group algebras (Erdmann: On Auslander-Reiten components for group algebras)
- Local restricted enveloping algebras (Erdmann: The Auslander-Reiten quiver of restricted enveloping algebras)
- Quantum complete intersections (Bergh, Erdmann: The stable Auslander-Reiten quiver of a quantum complete intersection)
