2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50925We consider irreducible cyclic representations of the algebra of monodromy matrices corresponding to the R-matrix of the six-vertex model. In roots of unity the Baxter Q-operator can be represented as a trace of a tensor product of L-operators corresponding to one of these cyclic representations and satisfies the TQ-equation. We find a new algebraic structure generated by these L-operators and, as a consequence, by the Q-operators.35 pages, LaTeXHigh Energy Physics - TheoryQuantum AlgebraExactly Solvable and Integrable Systemstext