The derived category of an algebra with radical square zero
Representation Theory
2017-10-25 v4
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.
Keywords
Cite
@article{arxiv.1612.05750,
title = {The derived category of an algebra with radical square zero},
author = {Dong Yang},
journal= {arXiv preprint arXiv:1612.05750},
year = {2017}
}
Comments
16 pages. To appear in Comm. Alg., slightly different from the published version