English

Auslander--Iyama correspondence for exact dg categories

Representation Theory 2023-08-17 v1 Category Theory

Abstract

We extend Auslander--Iyama correspondence to the setting of exact dg categories. By specializing it to exact dg categories concentrated in degree zero, we obtain a generalization of the higher Auslander correspondence for exact categories due to Ebrahimi--Nasr-Isfahani (in the case of exact categories with split retractions).

Keywords

Cite

@article{arxiv.2308.08519,
  title  = {Auslander--Iyama correspondence for exact dg categories},
  author = {Xiaofa Chen},
  journal= {arXiv preprint arXiv:2308.08519},
  year   = {2023}
}

Comments

20 pages. Comments are welcome