On tilting modules over cluster-tilted algebras

Simple item page
dc.creatorSmith, David
dc.date2007-10-23
dc.date.accessioned2026-07-07T08:38:18Z
dc.date.available2026-07-07T08:38:18Z
dc.descriptionIn this paper, we show that the tilting modules over a cluster-tilted algebra $A$ lift to tilting objects in the associated cluster category $\mathcal{C}_H$. As a first application, we describe the induced exchange relation for tilting $A$-modules arising from the exchange relation for tilting object in $\mathcal{C}_H$. As a second application, we exhibit tilting $A$-modules having cluster-tilted endomorphism algebras.
dc.description19 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0710.4329
dc.identifierhttp://arxiv.org/abs/0710.4329
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140681
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.subject16G20; 18E30
dc.titleOn tilting modules over cluster-tilted algebras
dc.typetext

Files

Collections

arXiv