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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72305Construction 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.13 pages; 4 figuresRings and AlgebrasQuantum Algebra20C08; 16S80; 14Q05Description of the center of the affine Temperley-Lieb algebra of type $\widetilde{A_N}$text