2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/167472We examine the partition of a finite Coxeter group of type $B$ into cells determined by a weight function $L$. The main objective of these notes is to reconcile Lusztig's description of constructible representations in this setting with conjectured combinatorial descriptions of cells.15 pages, 5 figuresRepresentation TheoryCombinatorics05E10, 20C08text