The derived category of an algebra with radical square zero

2016/12/17 by Yang, Dong · 1 citation
#16E35 #16E45 #18E30 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1612.05750

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.

Cited by

• The derived Hall algebra of a graded gentle one-cycle algebra I: the triangle structure

Related

• The bounded derived categories of an algebra with radical squared zero
• Finite and bounded Auslander-Reiten Components in the Derived Category
• Derived categories for algebras with radical square zero
• Koszul duality for non-graded derived categories
• Singularity Categories of Locally Bounded Categories with Radical Square Zero