T-structures via recollements for piecewise hereditary algebras

Abstract

Following the work of Beilinson, Bernstein and Deligne, we study restriction and induction of t-structures on 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 recollements 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. © 2011 Elsevier B.V.