The Algebra $K_3$ is Koszul

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dc.creatorNacin, David
dc.date2005-11-23
dc.date.accessioned2026-07-07T06:51:39Z
dc.date.available2026-07-07T06:51:39Z
dc.descriptionThe algebras $Q_n$ describe the relationship between the roots and coefficients of a non-commutative polynomial. I.Gelfand, S.Gelfand, and V. Retakh have defined quotients of these algebras corresponding to graphs. In this work we find the Hilbert series of the class of algebras corresponding to the graph $K_3$. We also show this algebra is Koszul using the lattice definition.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0511589
dc.identifierhttp://arxiv.org/abs/math/0511589
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105060
dc.subjectQuantum Algebra
dc.subject16S37
dc.titleThe Algebra $K_3$ is Koszul
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