2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/212628Computations in small Coxeter groups and infinite dihedral groups suggest that Kazhdan-Lusztig cells for unequal parameters obey to some "semicontinuity" phenomenon (as the parameter vary). The aim of this paper is to provide a rigorous theoretical background that allows to state some precise conjectures.36 pagesRepresentation TheoryGroup Theory20C08 (Primary); 20C15 (Secondary)text