Almost $\cal D$-split sequences and derived equivalences
Representation Theory
2008-10-28 v1
Abstract
In this paper, we introduce almost -split sequences and establish an elementary but somewhat surprising connection between derived equivalences and Auslander-Reiten sequences via BB-tilting modules. In particular, we obtain derived equivalences from Auslander-Reiten sequences (or -almost split sequences), and Auslander-Reiten triangles.
Cite
@article{arxiv.0810.4757,
title = {Almost $\cal D$-split sequences and derived equivalences},
author = {Wei Hu and Changchang Xi},
journal= {arXiv preprint arXiv:0810.4757},
year = {2008}
}