Maximal τ_d-rigid pairs

Jacobsen, Karin Marie; Jørgensen, Peter

dc.contributor.author	Jacobsen, Karin Marie
dc.contributor.author	Jørgensen, Peter
dc.date.accessioned	2019-12-02T09:02:59Z
dc.date.available	2019-12-02T09:02:59Z
dc.date.created	2019-11-29T11:44:05Z
dc.date.issued	2020
dc.identifier.citation	Journal of Algebra. 2020, 546 119-134.	nb_NO
dc.identifier.issn	0021-8693
dc.identifier.uri	http://hdl.handle.net/11250/2631196
dc.description.abstract	Let C be a 2-Calabi–Yau triangulated category, T a cluster tilting object with endomorphism algebra Γ. Consider the functor C(T,-): C -> mod Γ. It induces a bijection from the isomorphism classes of cluster tilting objects to the isomorphism classes of support τ-tilting pairs. This is due to Adachi, Iyama, and Reiten. The notion of (d+2)-angulated categories is a higher analogue of triangulated categories. We show a higher analogue of the above result, based on the notion of maximal τ_d-rigid pairs.	nb_NO
dc.description.abstract	Maximal τ_d-rigid pairs	nb_NO
dc.language.iso	eng	nb_NO
dc.publisher	Elsevier	nb_NO
dc.relation.uri	https://arxiv.org/abs/1812.04871
dc.rights	Navngivelse 4.0 Internasjonal	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/deed.no	*
dc.title	Maximal τ_d-rigid pairs	nb_NO
dc.type	Journal article	nb_NO
dc.type	Peer reviewed	nb_NO
dc.description.version	publishedVersion	nb_NO
dc.source.pagenumber	119-134	nb_NO
dc.source.volume	546	nb_NO
dc.source.journal	Journal of Algebra	nb_NO
dc.identifier.doi	10.1016/j.jalgebra.2019.10.046
dc.identifier.cristin	1754416
dc.description.localcode	© 2019 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license.	nb_NO
cristin.unitcode	194,63,15,0
cristin.unitname	Institutt for matematiske fag
cristin.ispublished	true
cristin.fulltext	original
cristin.qualitycode	2

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