2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153461The definition of a dilute braid-monoid algebra is briefly reviewed. The construction of solvable vertex and interaction-round-a-face models built on representations of the dilute Temperley-Lieb and Birman-Wenzl-Murakami algebras is discussed.8 pages, uuencoded gz-compressed PostScript, to appear in the proceedings of the satellite meeting of STATPHYS 19, `Statistical Models, Yang-Baxter Equation and Related Topics', August 8-10, 1995, Tianjin, ChinaQuantum Algebratext