dc.contributor.author | Simões, Raquel Coelho | |
dc.contributor.author | Pauksztello, David | |
dc.contributor.author | Ploog, David | |
dc.contributor.author | Zvonareva, Alexandra | |
dc.date.accessioned | 2023-03-16T12:03:27Z | |
dc.date.available | 2023-03-16T12:03:27Z | |
dc.date.created | 2022-05-25T10:33:59Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Simoes, R. C., Pauksztello, D., & Ploog, D. (2022). Functorially finite hearts, simple-minded systems in negative cluster categories, and noncrossing partitions. Compositio Mathematica, 158(1), 211-243. | en_US |
dc.identifier.issn | 0010-437X | |
dc.identifier.uri | https://hdl.handle.net/11250/3058761 | |
dc.description.abstract | Let Q be an acyclic quiver and w 1 be an integer. Let C−w(kQ) be the (−w)-cluster category of kQ. We show that there is a bijection between simple-minded collections in Db(kQ) lying in a fundamental domain of C−w(kQ) and w-simple-minded systems in C−w(kQ). This generalises the same result of Iyama–Jin in the case that Q is Dynkin. A key step in our proof is the observation that the heart H of a bounded t-structure in a Hom-finite, Krull–Schmidt, k-linear saturated triangulated category D is functorially finite in D if and only if H has enough injectives and enough projectives. We then establish a bijection between w-simple-minded systems in C−w(kQ) and positive w-noncrossing partitions of the corresponding Weyl group WQ. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Cambridge University Press | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Functorially finite hearts, simple-minded systems in negative cluster categories, and noncrossing partitions | en_US |
dc.title.alternative | Functorially finite hearts, simple-minded systems in negative cluster categories, and noncrossing partitions | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | The authors | en_US |
dc.subject.nsi | VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410 | en_US |
dc.source.pagenumber | 211-243 | en_US |
dc.source.volume | 158 | en_US |
dc.source.journal | Compositio Mathematica | en_US |
dc.source.issue | 1 | en_US |
dc.identifier.doi | 10.1112/S0010437X21007648 | |
dc.identifier.cristin | 2027247 | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |