2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74554We study the general rational solution of the Yang-Baxter equation with the symmetry algebra sl(3). The R-matrix acting in the tensor product of two arbitrary representations of the symmetry algebra can be represented as the product of the simpler operator -- "building blocks". These operators are constructed explicitly and have simple structure. We construct in a such way the general rational solution of the Yang-Baxter equation with the symmetry algebra sl(3). To illustrate the factorization in the simplest situation we treat also the the sl(2) case.22 pagesQuantum AlgebraHigh Energy Physics - TheoryRepresentation TheoryExactly Solvable and Integrable Systemstext