On n-hereditary algebras and n-slice algebras

2022/04/14 by Guo, Jin Yun, Hu, Yanping
#16G20 (Primary) #16G70 #16S37(Secondary) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2204.06879

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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