Cluster tilting vs. weak cluster tilting in Dynkin type : A infinity

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dc.identifier.uri http://dx.doi.org/10.15488/3110
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/3140
dc.contributor.author Holm, Thorsten
dc.contributor.author Jørgensen, Peter
dc.date.accessioned 2018-04-18T12:21:30Z
dc.date.available 2018-04-18T12:21:30Z
dc.date.issued 2015
dc.identifier.citation Holm, T.; Jørgensen, P.: Cluster tilting vs. weak cluster tilting in Dynkin type A infinity. In: Forum Mathematicum 27 (2015), Nr. 2, S. 1117-1137. DOI: https://doi.org/10.1515/forum-2012-0093
dc.description.abstract This paper shows a new phenomenon in higher cluster tilting theory. For each positive integer d, we exhibit a triangulated category C with the following properties. On the one hand, the d-cluster tilting subcategories of C have very simple mutation behaviour: Each indecomposable object has exactly d mutations. On the other hand, the weakly d-cluster tilting subcategories of C which lack functorial finiteness can have much more complicated mutation behaviour: For each 0 ≤ ℓ ≤ d-1, we show a weakly d-cluster tilting subcategory Tℓ which has an indecomposable object with precisely ℓ mutations. The category C is the algebraic triangulated category generated by a (d + 1)-spherical object and can be thought of as a higher cluster category of Dynkin type A∞. © 2015 by De Gruyter. eng
dc.language.iso eng
dc.publisher Berlin : De Gruyter
dc.relation.ispartofseries Forum Mathematicum 27 (2015), Nr. 2
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
dc.subject Auslander-Reiten quiver eng
dc.subject d-Calabi-Yau category eng
dc.subject d-cluster tilting subcategory eng
dc.subject Fomin-Zelevinsky mutation eng
dc.subject functorial finiteness eng
dc.subject left-approximating subcategory eng
dc.subject right-approximating subcategory eng
dc.subject spherical object eng
dc.subject weakly d-cluster tilting subcategory eng
dc.subject.ddc 510 | Mathematik ger
dc.title Cluster tilting vs. weak cluster tilting in Dynkin type : A infinity
dc.type article
dc.type Text
dc.relation.issn 0933-7741
dc.relation.doi https://doi.org/10.1515/forum-2012-0093
dc.bibliographicCitation.issue 2
dc.bibliographicCitation.volume 27
dc.bibliographicCitation.firstPage 1117
dc.bibliographicCitation.lastPage 1137
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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