Buan, AB and Marsh, RJ (2013) From triangulated categories to module categories via localisation. Transactions of the American Mathematical Society, 365 (6). 2845 - 2861. ISSN 0002-9947
Abstract
We show that the category of finite dimensional modules over the endomorphism algebra of a rigid object in a Hom-finite triangulated category is equivalent to the Gabriel-Zisman localisation of the category with respect to a certain class of maps. This generalises the 2-Calabi-Yau tilting theorem of Keller-Reiten, in which the module category is obtained as a factor category, to the rigid case.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | First published in Transactions of the American Mathematical Society in Vol 365 Number 6 published by the American Mathematical Society. © 2013, American Mathematical Society. This is an author produced version of a paper published in Transactions of the American Mathematical Society. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
|
Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 12 Nov 2013 12:05 |
Last Modified: | 15 Sep 2014 01:33 |
Published Version: | http://dx.doi.org/10.1090/S0002-9947-2012-05631-5 |
Status: | Published |
Publisher: | American Mathematical Society |
Refereed: | Yes |
Identification Number: | 10.1090/S0002-9947-2012-05631-5 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:77022 |