dc.contributor.author | Haugland, Johanne | |
dc.contributor.author | Jacobsen, Karin M. | |
dc.contributor.author | Schroll, Sibylle | |
dc.date.accessioned | 2023-02-21T14:01:09Z | |
dc.date.available | 2023-02-21T14:01:09Z | |
dc.date.created | 2022-10-21T10:08:12Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Forum mathematicum. 2022, 34 (5), 1255-1275. | en_US |
dc.identifier.issn | 0933-7741 | |
dc.identifier.uri | https://hdl.handle.net/11250/3052819 | |
dc.description.abstract | We investigate the role of gentle algebras in higher homological algebra. In the first part of the paper, we show that if the module category of a gentle algebra Λ contains a d-cluster tilting subcategory for some d≥2 , then Λ is a radical square zero Nakayama algebra. This gives a complete classification of weakly d-representation finite gentle algebras. In the second part, we use a geometric model of the derived category to prove a similar result in the triangulated setup. More precisely, we show that if Db(Λ) contains a d-cluster tilting subcategory that is closed under [d] , then Λ is derived equivalent to an algebra of Dynkin type A. Furthermore, our approach gives a geometric characterization of all d-cluster tilting subcategories of Db(Λ) that are closed under [d] . | en_US |
dc.language.iso | eng | en_US |
dc.publisher | De Gruyter | en_US |
dc.title | The role of gentle algebras in higher homological algebra | en_US |
dc.title.alternative | The role of gentle algebras in higher homological algebra | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.source.pagenumber | 1255-1275 | en_US |
dc.source.volume | 34 | en_US |
dc.source.journal | Forum mathematicum | en_US |
dc.source.issue | 5 | en_US |
dc.identifier.doi | 10.1515/forum-2021-0311 | |
dc.identifier.cristin | 2063568 | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |