On the relation between cluster and classical tilting

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dc.creatorHolm, Thorsten
dc.creatorJorgensen, Peter
dc.date2008-10-02
dc.date.accessioned2026-07-07T10:07:05Z
dc.date.available2026-07-07T10:07:05Z
dc.descriptionLet D be a triangulated category with a cluster tilting subcategory U. The quotient category D/U is abelian; suppose that it has finite global dimension. We show that projection from D to D/U sends cluster tilting subcategories of D to support tilting subcategories of D/U, and that, in turn, support tilting subcategories of D/U can be lifted uniquely to maximal 1-orthogonal subcategories of D.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/0810.0411
dc.identifierhttp://arxiv.org/abs/0810.0411
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170514
dc.subjectRepresentation Theory
dc.subject16G70, 18E10, 18E30, 18G99
dc.titleOn the relation between cluster and classical tilting
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