Constructing cell data for diagram algebras

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We show how the treatment of cellularity in families of algebras arising from diagram calculi, such as Jones' Temperley--Lieb wreaths, variants on Brauer's centralizer algebras, and the contour algebras of Cox et al (of which many algebras are special cases), may be unified using the theory of tabular algebras. This improves an earlier result of the first author (whose hypotheses covered only the Brauer algebra from among these families).
Approximately 38 pages, AMSTeX. Revised in light of referee comments. To appear in the Journal of Pure and Applied Algebra

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Rings and Algebras, Quantum Algebra, 16G30

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http://salesiana.dossiersoluciones.com/handle/123456789/101170

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503751
 http://arxiv.org/abs/math/0503751

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arXiv