0-Auslander correspondence

TL;DR

This paper establishes a new analogue of the Auslander correspondence within the context of exact dg categories, connecting higher categorical structures with classical representation theory concepts.

Contribution

It introduces an analogue of Auslander correspondence for exact dg categories with a 0-Auslander $H^0$-category, extending classical results to a dg categorical setting.

Findings

Proves an Auslander correspondence analogue for exact dg categories.

Connects dg categorical structures with classical Auslander theory.

Extends the scope of Auslander correspondence to new categorical contexts.

Abstract

In this short note we prove an analogue of Auslander correspondence for exact dg categories whose $H^0$-category is $0$-Auslander in the sense of Gorsky--Nakaoka--Palu.