2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60868We investigate the compatibility of the set of fully commutative elements of a Coxeter group with the various types of Kazhdan-Lusztig cells using a canonical basis for a generalized version of the Temperley-Lieb algebra.AMSTeX, approximately 20 pagesQuantum Algebra20C08text