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arXiv · 1404.4764

Preprojective algebras and Calabi-Yau duality

Claire Amiot
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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.

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Claire Amiot. 2014-04-18. Preprojective algebras and Calabi-Yau duality. https://arxiv.org/abs/1404.4764

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