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Maximal τ_d-rigid pairs

dc.contributor.authorJacobsen, Karin Marie
dc.contributor.authorJørgensen, Peter
dc.date.accessioned2019-12-02T09:02:59Z
dc.date.available2019-12-02T09:02:59Z
dc.date.created2019-11-29T11:44:05Z
dc.date.issued2020
dc.identifier.citationJournal of Algebra. 2020, 546 119-134.nb_NO
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/11250/2631196
dc.description.abstractLet 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.abstractMaximal τ_d-rigid pairsnb_NO
dc.language.isoengnb_NO
dc.publisherElseviernb_NO
dc.relation.urihttps://arxiv.org/abs/1812.04871
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.titleMaximal τ_d-rigid pairsnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionpublishedVersionnb_NO
dc.source.pagenumber119-134nb_NO
dc.source.volume546nb_NO
dc.source.journalJournal of Algebranb_NO
dc.identifier.doi10.1016/j.jalgebra.2019.10.046
dc.identifier.cristin1754416
dc.description.localcode© 2019 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license.nb_NO
cristin.unitcode194,63,15,0
cristin.unitnameInstitutt for matematiske fag
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode2


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