Decorated tangles and canonical bases

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We study the combinatorics of fully commutative elements in Coxeter groups of type $H_n$ for any $n > 2$. Using the results, we construct certain canonical bases (i.e., IC bases) for non-simply-laced generalized Temperley--Lieb algebras and show how to relate them to morphisms in the category of decorated tangles.
45 pages AMSTeX; 13 postscript figures

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Quantum Algebra, 20F55, 20C08, 57M15

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http://salesiana.dossiersoluciones.com/handle/123456789/62002

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108076
 http://arxiv.org/abs/math/0108076

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arXiv