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

• Xueyu Luo ^[1]
  1. [1] Nagoya University

     Nagoya University

     Naka-ku, Japón

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 12 (December 2015), 2015, págs. 5590-5630
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.05.035
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• Resumen

  • 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.