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

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Construction 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 figures

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Rings and Algebras, Quantum Algebra, 20C08; 16S80; 14Q05

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http://salesiana.dossiersoluciones.com/handle/123456789/72305

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408392
 http://arxiv.org/abs/math/0408392

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arXiv