0-Calabi–Yau configurations and finite Auslander–Reiten quivers of Gorenstein orders

We revisit Wiedemann's classification [38] of Auslander–Reiten quivers of representation-finite Gorenstein orders in terms of a Dynkin diagram, a configuration and an automorphism group. In this paper, we introduce the notion of 2-Brauer relations and prove that Wiedemann's configurations are simply described in terms of 2-Brauer relations. We also give a simple self-contained proof of Wiedemann's classification.