Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/22744
Full metadata record
DC Field | Value | Language |
---|---|---|
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.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. | - |
item.contributor | Stanley, Donald | - |
item.contributor | VAN ROOSMALEN, Adam-Christiaan | - |
crisitem.journal.issn | 0001-8708 | - |
crisitem.journal.eissn | 1090-2082 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
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 |
SCOPUSTM
Citations
3
checked on Sep 7, 2020
WEB OF SCIENCETM
Citations
4
checked on Apr 22, 2024
Page view(s)
64
checked on Sep 7, 2022
Download(s)
116
checked on Sep 7, 2022
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.