Recollements and tilting objects

Details Recollements and tilting objects Recollements and tilting objects

2009-08-13

arxiv.org/abs/0908.1988v1

Mathematics

Representation Theory

Scientific paper

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).

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