Jones--Wenzl projections of type and Dyck tilings
arXiv:2412.16966
Abstract
We study the relation between a coefficient of an element of the Jones--Wenzl projection in the Temperley--Lieb algebra of type and an enumeration of Dyck tilings. The coefficient can be non-recursively expressed as an enumerative generating function of Dyck tilings by considering the generalized Hermite histories, which we call bi-colored vertical Hermite histories, on the tilings.
30 pages