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http://hdl.handle.net/1942/22744
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DC Field | Value | Language |
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dc.contributor.author | Stanley, Donald | - |
dc.contributor.author | VAN ROOSMALEN, Adam-Christiaan | - |
dc.date.accessioned | 2016-11-24T13:22:49Z | - |
dc.date.available | 2016-11-24T13:22:49Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | ADVANCES IN MATHEMATICS, 303, p. 415-463 | - |
dc.identifier.issn | 0001-8708 | - |
dc.identifier.uri | http://hdl.handle.net/1942/22744 | - |
dc.description.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. | - |
dc.description.sponsorship | This work was partially funded by the Eduard Čech Institute under grant GA CR P201/12/G028. | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.rights | © 2016 Elsevier Inc. All rights reserved. | - |
dc.subject.other | t-Structure; Derived equivalence; Hereditary algebra; Serre duality | - |
dc.subject.other | t-Structure; derived equivalence; hereditary algebra; serre duality | - |
dc.title | Derived equivalences for hereditary Artin algebras | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 463 | - |
dc.identifier.spage | 415 | - |
dc.identifier.volume | 303 | - |
local.format.pages | 49 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.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. | - |
local.publisher.place | SAN DIEGO | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1016/j.aim.2016.08.016 | - |
dc.identifier.isi | 000386192700013 | - |
item.accessRights | Open Access | - |
item.validation | ecoom 2017 | - |
item.contributor | Stanley, Donald | - |
item.contributor | VAN ROOSMALEN, Adam-Christiaan | - |
item.fulltext | With Fulltext | - |
item.fullcitation | Stanley, Donald & VAN ROOSMALEN, Adam-Christiaan (2016) Derived equivalences for hereditary Artin algebras. In: ADVANCES IN MATHEMATICS, 303, p. 415-463. | - |
crisitem.journal.issn | 0001-8708 | - |
crisitem.journal.eissn | 1090-2082 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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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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