Recollements and tilting objects
Representation Theory
2009-08-17 v1 Rings and Algebras
Abstract
We study connections between recollements of the derived category D(Mod-R) of a ring R and tilting theory. We first provide constructions of tilting objects from given recollements, recovering several different results from the literature. Secondly, we show how to construct a recollement from a tilting module of projective dimension one. Our results will be employed in a forthcoming paper in order to investigate stratifications of D(Mod-R).
Keywords
Cite
@article{arxiv.0908.1988,
title = {Recollements and tilting objects},
author = {Lidia Angeleri Hügel and Steffen König and Qunhua Liu},
journal= {arXiv preprint arXiv:0908.1988},
year = {2009}
}