2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162320In this paper we show that the matrix of chromatic joins and the Gram matrix of the Temperley-Lieb algebra are similar (after rescaling), with the change of basis given by diagonal matrices.6 pages; 6 figuresGeometric TopologyCombinatorics57M; 06AThe Gram matrix of a Temperley-Lieb algebra is similar to the matrix of chromatic joinstext