Higher Auslander correspondence for exact categories
Representation Theory
2021-09-01 v1
Abstract
Inspired by the recent work of Henrard, Kvamme and van Roosmalen [17], we prove a categorified version of higher Auslander correspondence in the context of exact categories. We define n-Auslander exact categories and show that there is a bijection between the equivalence classes of n-cluster tilting subcategories of exact categories and the equivalence classes of n-Auslander exact categories.
Keywords
Cite
@article{arxiv.2108.13645,
title = {Higher Auslander correspondence for exact categories},
author = {Ramin Ebrahimi and Alireza Nasr-Isfahani},
journal= {arXiv preprint arXiv:2108.13645},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2011.15107 by other authors