Defining an m-cluster category

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dc.creatorThomas, Hugh
dc.date2006-07-06
dc.date2007-09-09
dc.date.accessioned2026-07-07T08:28:16Z
dc.date.available2026-07-07T08:28:16Z
dc.descriptionWe show that a certain orbit category considerd by Keller encodes the combinatorics of the $m$-clusters of Fomin and Reading in a fashion similar to the way the cluster category of Buan, Marsh, Reineke, Reiten, and Todorov encodes the combinatorics of the clusters of Fomin and Zelevinsky. This allows us to give type-uniform proofs of certain results of Fomin and Reading in the simply laced cases.
dc.descriptionVersion 2 is substantially shorter, more focussed, and uses less machinery. Version 3 has minor revisions following referee's suggestions, and some sign corrections. To appear in J. Alg. 10 pages
dc.identifierhttps://arxiv.org/abs/math/0607173
dc.identifierhttp://arxiv.org/abs/math/0607173
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137559
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject16G20; 05E15
dc.titleDefining an m-cluster category
dc.typetext

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