I would like to know Auslander-Reiten quivers of which types of algebras have been found.
For quantum groups, there is a paper http://arxiv.org/abs/1202.1714 by Julian Külshammer. I search the Internet, but was not able to find other papers about Auslander-Reiten theory for quantum groups.
We know that the irreducible representations of quantum groups are parameterized by Drinfeld polynomials. I think that the the vertices of Auslander-Reiten quivers can be given by Drinfeld polynomials (or correspond to Drinfeld polynomials). Are there some papers describe Auslander-Reiten quivers for quantum groups whose vertices correspond to Drinfeld polynomials explicitly?
For group algebras, there are some papers by Karin Erdmann.
There are also many papers about Auslander-Reiten quivers for projective algebras by Christof Geiss, Bernard Leclerc, and Jan Schroer.
Are there some other papers about Auslander-Reiten quivers of finite dimensional algebras? Thank you very much.