2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79943We present a detailed construction of a completely symmetric representation of the monodromy matrix by the use of Drinfel'd twists for the rational $sl(3)$ Heisenberg model without refering to the special symmetry of the model. With the help of this representation we are able to resolve the hierarchy of the nested Bethe wavevectors for the $sl(3)$ invariant rational Heisenberg model.To appear in the proceedings of the NATO workshop ``Dynamical Symmetries of Integrable Quantum Field Theories and Lattice Models'', Kiev 2000Exactly Solvable and Integrable SystemsHigh Energy Physics - Theorytext