Derived equivalences for hereditary Artin algebras

Donald Stanley, Adam Christiaan van Roosmalen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


We study the role of the Serre functor in the theory of derived equivalences. Let A be an abelian category and let (U,V) be a t-structure on the bounded derived category DbA with heart H. We investigate when the natural embedding H→DbA can be extended to a triangle equivalence DbH→DbA. Our focus of study is the case where A is the category of finite-dimensional modules over a finite-dimensional hereditary algebra. In this case, we prove that such an extension exists if and only if the t-structure is bounded and the aisle U of the t-structure is closed under the Serre functor.

Original languageEnglish
Pages (from-to)415-463
Number of pages49
JournalAdvances in Mathematics
Publication statusPublished - 5 Nov 2016
Externally publishedYes


  • Derived equivalence
  • Hereditary algebra
  • Serre duality
  • t-Structure


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