Preprojective algebras and Calabi-Yau duality
arXiv:1404.4764
Abstract
The properties of the preprojective algebra are very di fferent whether the associated quiver is of Dynkin type or not. However in both cases, one can construct from it a triangulated category of Calabi-Yau dimension 2. In this note we explain the generalizations of this fact in the context of higher preprojective algebra, and we give some homological properties that characterize preprojective algebras.
Oberwolfach Report on joint works with O. Iyama, I. Reiten and S. Oppermann