Koszul algebras associated to graphs

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dc.creatorPiontkovski, Dmitri
dc.date2006-02-15
dc.date.accessioned2026-07-07T07:03:26Z
dc.date.available2026-07-07T07:03:26Z
dc.descriptionQuadratic algebras associated to graphs have been introduced by I. Gelfand, S. Gelfand, and Retakh in connection with decompositions of noncommutative polynomials. Here we show that, for each graph with rare triangular subgraphs, the corresponding quadratic algebra is a Koszul domain with global dimension equal to the number of vertices of the graph.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0602315
dc.identifierhttp://arxiv.org/abs/math/0602315
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108969
dc.subjectRings and Algebras
dc.subjectQuantum Algebra
dc.subject16S37
dc.titleKoszul algebras associated to graphs
dc.typetext

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