Auslander--Iyama correspondence for exact dg categories

2023/08/16 by Chen, Xiaofa · 1 citation
#Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2308.08519

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).

Cited by

• A functorial approach to 0-abelian categories

Related

• 0-Auslander correspondence
• Iyama-Solberg correspondence for exact dg categories
• Higher Auslander correspondence for exact categories
• Higher Auslander--Solberg correspondence for exact categories
• Exact dg categories II : The embedding theorem