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arXiv · 1307.5828

Higher preprojective algebras and stably Calabi-Yau properties

Claire Amiot·Steffen Oppermann
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Abstract

In this paper, we give sufficient properties for a finite dimensional graded algebra to be a higher preprojective algebra. These properties are of homological nature, they use Gorensteiness and bimodule isomorphisms in the stable category of Cohen-Macaulay modules. We prove that these properties are also necessary for $3$-preprojective algebras using \cite{Kel11} and for preprojective algebras of higher representation finite algebras using \cite{Dugas}.

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Claire Amiot, Steffen Oppermann. 2014-04-18. Higher preprojective algebras and stably Calabi-Yau properties. https://arxiv.org/abs/1307.5828

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