Poincare-Birkhoff-Witt Deformations of Calabi-Yau Algebras

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dc.creatorBerger, Roland
dc.creatorTaillefer, Rachel
dc.date2006-10-03
dc.date2006-10-27
dc.date.accessioned2026-07-07T07:28:39Z
dc.date.available2026-07-07T07:28:39Z
dc.descriptionRecently, Bocklandt proved a conjecture by Van den Bergh in its graded version, stating that a graded quiver algebra (with relations) which is Calabi-Yau of dimension 3 is defined from a homogeneous potential W. In this paper, we prove that if we add to W any potential of smaller degree, we get a Poincare-Birkhoff-Witt deformation of A. Such PBW deformations are Calabi-Yau and are characterised among all the PBW deformations of A. Various examples are presented.
dc.descriptionMinor errors corrected, results unchanged
dc.identifierhttps://arxiv.org/abs/math/0610112
dc.identifierhttp://arxiv.org/abs/math/0610112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117810
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16E65, 16S38, 16S80
dc.titlePoincare-Birkhoff-Witt Deformations of Calabi-Yau Algebras
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