Cubist Algebras

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dc.creatorChuang, J.
dc.creatorTurner, W.
dc.date2007-10-29
dc.date.accessioned2026-07-07T08:39:14Z
dc.date.available2026-07-07T08:39:14Z
dc.descriptionWe construct algebras from rhombohedral tilings of Euclidean space obtained as projections of certain cubical complexes. We show that these `Cubist algebras' satisfy strong homological properties, such as Koszulity and quasi-heredity, reflecting the combinatorics of the tilings. We construct derived equivalences between Cubist algebras associated to local mutations in tilings. We recover as a special case the Rhombal algebras of Michael Peach and make a precise connection to weight 2 blocks of symmetric groups.
dc.identifierhttps://arxiv.org/abs/0710.5457
dc.identifierhttp://arxiv.org/abs/0710.5457
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141003
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject20G05
dc.titleCubist Algebras
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