T-structures via recollements for piecewise hereditary algebras

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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.




Liu, Q., & Vitória, J. (2012). T-structures via recollements for piecewise hereditary algebras. Journal of Pure and Applied Algebra, 216(4), 837–849. https://doi.org/10.1016/j.jpaa.2011.08.010

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