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arXiv · 2402.09887

Jones--Wenzl projections and Dyck tilings: type $A$ and $B$

Keiichi Shigechi
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Abstract

The Jones--Wenzl projections are a special class of elements of the Temperley--Lieb algebra. We prove that the coefficient appearing in the Jones--Wenzl projection is given by a generating function of combinatorial objects, called Dyck tilings. We also show that this correspondence holds for type $B$ case.

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Keiichi Shigechi. 2024-02-15. Jones--Wenzl projections and Dyck tilings: type $A$ and $B$. https://arxiv.org/abs/2402.09887

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