2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219399We develop an approach for constructing the Baxter Q-operators for generic sl(N) spin chains. The key element of our approach is the possibility to represent a solution of the the Yang Baxter equation in the factorized form. We prove that such a representation holds for a generic sl(N) invariant R-operator and find the explicit expression for the factorizing operators. Taking trace of monodromy matrices constructed of the factorizing operators one defines a family of commuting (Baxter) operators on the quantum space of the model. We show that a generic transfer matrix factorizes into the product of N Baxter Q-operators and discuss an application of this representation for a derivation of functional relations for transfer matrices.41 pages, 5 figures, published versionExactly Solvable and Integrable SystemsHigh Energy Physics - TheoryFactorization of R-matrix and Baxter Q-operators for generic sl(N) spin chainstext