Higher Auslander’s Formula

Abstract

Let M be a small n-abelian category. We show that the category of finitely presented functors mod-M modulo the subcategory of effaceable functors mod0-M has an n-cluster tilting subcategory, which is equivalent to M. This gives a higher-dimensional version of Auslander’s formula. © The Author(s) 2021. Published by Oxford University Press. All rights reserved.