Quotients of cluster categories

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dc.creatorJorgensen, Peter
dc.date2007-05-08
dc.date.accessioned2026-07-07T08:00:02Z
dc.date.available2026-07-07T08:00:02Z
dc.descriptionHigher cluster categories were recently introduced as a generalization of cluster categories. This paper shows that in Dynkin types A and D, half of all higher cluster categories are actually just quotients of cluster categories. The other half can be obtained as quotients of 2-cluster categories, the "lowest" type of higher cluster categories. Hence, in Dynkin types A and D, all higher cluster phenomena are implicit in cluster categories and 2-cluster categories. In contrast, the same is not true in Dynkin type E.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/0705.1117
dc.identifierhttp://arxiv.org/abs/0705.1117
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128586
dc.subjectRepresentation Theory
dc.subject16G10, 16G70, 18E30, 18E35
dc.titleQuotients of cluster categories
dc.typetext

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