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Decorated tangles and canonical bases

R. M. Green
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Abstract

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.

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R. M. Green. 2001-08-10. Decorated tangles and canonical bases. https://arxiv.org/abs/math/0108076

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