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arXiv · 2204.06879

On $n$-hereditary algebras and $n$-slice algebras

Jin Yun Guo·Yanping Hu
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Abstract

In this paper we show that acyclic $n$-slice algebras are exactly acyclic $n$-hereditary algebras whose $(n+1)$-preprojective algebras are $(q+1,n+1)$-Koszul. We also list the equivalent triangulated categories arising from the algebra constructions related to an $n$-slice algebra. We show that higher slice algebras of finite type appear in pairs and they share the Auslander-Reiten quiver for their higher preprojective components.

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Jin Yun Guo, Yanping Hu. 2022-04-14. On $n$-hereditary algebras and $n$-slice algebras. https://arxiv.org/abs/2204.06879

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