The derived category of an algebra with radical square zero

Abstract

Koszul duality and covering theory are combined to realise 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.

16 pages. To appear in Comm. Alg., slightly different from the published version

References in corpus (3)

• On triangulated orbit categories
• Derived categories of graded gentle one-cycle algebras
• From simple-minded collections to silting objects via Koszul duality