2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184204We use the structural similarity of certain Coxeter Artin Systems to the Yang--Baxter and Reflection Equations to convert representations of these systems into new solutions of the Reflection Equation. We construct certain Bethe ansatz states for these solutions, using a parameterisation suggested by abstract representation theory.27 pages, multiple figures, latexHigh Energy Physics - Theorytext