Decorated tangles and canonical bases
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
