2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215141The general rational solution of the Yang-Baxter equation with the symmetry algebra sl(2) can be represented as the product of the simpler building blocks denoted as R-operators. The R-operators are constructed explicitly and have simple structure. Using the R-operators we construct the two-parametric Baxter's Q-operator for the generic inhomogeneous periodic XXX spin chain. In the case of homogeneous XXX spin chain it is possible to reduce the general Q-operator to the much simpler one-parametric operator.17 pagesQuantum AlgebraHigh Energy Physics - TheoryRepresentation TheoryExactly Solvable and Integrable Systemstext