Decorated tangles and canonical bases
R. M. Green
Abstract
We study the combinatorics of fully commutative elements in Coxeter groups of type Hn 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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