10 citations · 14 across the 4 of their papers we have counts for
4 papers
Jordan Hölder theorems for derived module categories of piecewise hereditary algebras
Lidia Angeleri Hügel, Steffen Koenig, Qunhua Liu
A Jordan Hölder theorem is established for derived module categories of piecewise hereditary algebras. The resulting composition series of derived categories are shown to be indepe…
Blocks of group algebras are derived simple
Qunhua Liu, Dong Yang
A derived version of Maschke's theorem for finite groups is proved: the derived categories, bounded or unbounded, of all blocks of the group algebra of a finite group are simple, i…
t-structures via recollements for piecewise hereditary algebras
Qunhua Liu, Jorge Vitória
Following the work of Beilinson, Bernstein and Deligne, we study restriction and induction of t-structures in triangulated categories with respect to recollements. For derived cate…
Recollements and tilting objects
Lidia Angeleri Hügel, Steffen König, Qunhua Liu
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…