ABSTRACT
Koszul duality and covering theory are combined to realize the bounded derived category 𝒟 of an algebra with radical square zero as a certain orbit category of the bounded derived category of finitely presented representations of an associated infinite quiver. As a consequence, the possible shapes of the connected components of the Auslander–Reiten quiver of 𝒟 are described.
Acknowledgment
The author acknowledges support by the National Natural Science Foundation of China No. 11401297 and a project funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions. He thanks a referee for very helpful remarks.