t-structures via recollements for piecewise hereditary algebras
Representation Theory
2011-03-15 v1 Rings and Algebras
Abstract
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 categories of piecewise hereditary algebras we give a necessary and sufficient condition for a bounded t-structure to be induced from a recollement by derived categories of algebras. As a corollary we prove that for hereditary algebras of finite representation type all bounded t-structures can be obtained in this way.
Cite
@article{arxiv.1103.2444,
title = {t-structures via recollements for piecewise hereditary algebras},
author = {Qunhua Liu and Jorge Vitória},
journal= {arXiv preprint arXiv:1103.2444},
year = {2011}
}