Qunhua Liu

  1. Recollements and tilting objects.

    Authors: Lidia Angeleri Hügel, Steffen König, Qunhua Liu
    Subjects: Representation Theory
    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).

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