2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157323C. Bonnaf{é}, M. Geck, L. Iancu, and T. Lam have conjectured a description of one-sided cells in unequal parameter Hecke algebras of type $B$ which is based on domino tableaux of arbitrary rank. In the integer case, this generalizes the work of D. Garfinkle whose methods we adapt to construct a family of operators which generate the conjectured combinatorial description.23 pagesRepresentation TheoryCombinatorics20C08, 05E10text