Description of the center of the affine Temperley-Lieb algebra of type $\widetilde{A_N}$

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dc.creatorVlasenko, Masha
dc.date2004-08-28
dc.date.accessioned2026-07-07T05:11:37Z
dc.date.available2026-07-07T05:11:37Z
dc.descriptionConstruction of the diagrammatic version of the affine Temperley-Lieb algebra of type $\widetilde{A_N}$ as a subring of matrices over the Laurent polynomials is given. We move towards geometrical understanding of cellular structure of the Temperley-Lieb algebra. We represent its center as a coordinate ring of the certain affine algebraic variety and describe this variety constructing its desingularization.
dc.description13 pages; 4 figures
dc.identifierhttps://arxiv.org/abs/math/0408392
dc.identifierhttp://arxiv.org/abs/math/0408392
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72305
dc.subjectRings and Algebras
dc.subjectQuantum Algebra
dc.subject20C08; 16S80; 14Q05
dc.titleDescription of the center of the affine Temperley-Lieb algebra of type $\widetilde{A_N}$
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