dc.identifier.uri |
http://dx.doi.org/10.15488/3110 |
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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 |
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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 |
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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 |
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dc.publisher |
Berlin : De Gruyter |
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dc.relation.ispartofseries |
Forum Mathematicum 27 (2015), Nr. 2 |
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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. |
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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 |
eng |
dc.type |
Article |
|
dc.type |
Text |
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dc.relation.issn |
0933-7741 |
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dc.relation.doi |
https://doi.org/10.1515/forum-2012-0093 |
|
dc.bibliographicCitation.issue |
2 |
|
dc.bibliographicCitation.volume |
27 |
|
dc.bibliographicCitation.firstPage |
1117 |
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dc.bibliographicCitation.lastPage |
1137 |
|
dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
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