Iyama-Solberg correspondence for exact dg categories
Representation Theory
2024-02-12 v2 Category Theory
Abstract
We generalize the notions of -cluster tilting pair and -Auslander exact dg category to -precluster tilting triple and -minimal Auslander--Gorenstein exact dg category. We give a bijection between equivalence classes of -precluster tilting triples and equivalence classes of -minimal Auslander--Gorenstein exact dg categories. Our bijection generalizes Iyama--Solberg correspondence for module categories.
Cite
@article{arxiv.2401.02064,
title = {Iyama-Solberg correspondence for exact dg categories},
author = {Xiaofa Chen},
journal= {arXiv preprint arXiv:2401.02064},
year = {2024}
}
Comments
v2, a subsection on an equivalence of $\infty$-groupoids is added. Comments are very welcome!