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http://hdl.handle.net/1942/22744
Title: | Derived equivalences for hereditary Artin algebras | Authors: | Stanley, Donald VAN ROOSMALEN, Adam-Christiaan |
Issue Date: | 2016 | Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Source: | ADVANCES IN MATHEMATICS, 303, p. 415-463 | Abstract: | 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 -> D(b)A can be extended to a triangle equivalence (DH)-H-b -> D(b)A. 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. (C) 2016 Elsevier Inc. All rights reserved. | Notes: | [Stanley, Donald] Univ Regina, Dept Math & Stats, Regina, SK S4S 4A5, Canada. [van Roosmalen, Adam-Christiaan] Univ Hasselt, Dept WNI, Campus Diepenbeek, B-3590 Diepenbeek, Belgium. | Keywords: | t-Structure; Derived equivalence; Hereditary algebra; Serre duality;t-Structure; derived equivalence; hereditary algebra; serre duality | Document URI: | http://hdl.handle.net/1942/22744 | ISSN: | 0001-8708 | e-ISSN: | 1090-2082 | DOI: | 10.1016/j.aim.2016.08.016 | ISI #: | 000386192700013 | Rights: | © 2016 Elsevier Inc. All rights reserved. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2017 |
Appears in Collections: | Research publications |
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stanley 1.pdf Restricted Access | Published version | 807.44 kB | Adobe PDF | View/Open Request a copy |
Derived_Equivalences.pdf | Peer-reviewed author version | 522.18 kB | Adobe PDF | View/Open |
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