T-structures via recollements for piecewise hereditary algebras

  • Liu Q
  • Vitória J
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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.

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Authors

  • Qunhua Liu

  • Jorge Vitória

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