Monomial Gorenstein algebras and the stably Calabi--Yau property

2018/07/18 by Elsener, Ana Garcia
#16E65 #16G20 #18E30 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1807.07018

Abstract

A celebrated result by Keller--Reiten says that 2-Calabi--Yau tilted algebras are Gorenstein and stably 3-Calabi--Yau. This note shows that the converse holds in the monomial case: a 1-Gorenstein monomial algebra with a 3-Calabi--Yau singularity category is 2-Calabi--Yau tilted. We study the case of other Goresntein monomial algebras with stably Calabi--Yau singularity categories.

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