From triangulated categories to abelian categories--cluster tilting in a general framework

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dc.creatorKoenig, Steffen
dc.creatorZhu, Bin
dc.date2006-05-03
dc.date2007-05-23
dc.date.accessioned2026-07-07T08:07:45Z
dc.date.available2026-07-07T08:07:45Z
dc.descriptionWe put cluster tilting in ageneral framework by showing that any quotient of a triangulated category modulo a tilting subcategory (that is, a maximal one-orthogonal subcategory) carries an abelian structure. These abelian quotients turn out to be module categories of Goreisten algebras of dimension at most one.
dc.descriptionfinal version, to appear in Math. Z. minor changes
dc.identifierhttps://arxiv.org/abs/math/0605100
dc.identifierhttp://arxiv.org/abs/math/0605100
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131038
dc.subjectRepresentation Theory
dc.subjectCategory Theory
dc.subject16G20, 16G70, 19S99, 17B20
dc.titleFrom triangulated categories to abelian categories--cluster tilting in a general framework
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