Jones--Wenzl projections and Dyck tilings: type and
arXiv:2402.09887
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 case.
12 pages