2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/185754We introduce a factorized difference operator L(u) annihilated by the Frenkel-Reshetikhin screening operator for the quantum affine algebra U_q(C^{(1)}_n). We identify the coefficients of L(u) with the fundamental q-characters, and establish a number of formulas for their higher analogues. They include Jacobi-Trudi and Weyl type formulas, canceling tableau sums, Casorati determinant solution to the T-system, and so forth. Analogous operators for the orthogonal series U_q(B^{(1)}_n) and U_q(D^{(1)}_n) are also presented.25 pages, LaTeX2e, no figureQuantum AlgebraHigh Energy Physics - TheoryRepresentation TheoryExactly Solvable and Integrable Systems81R50(Primary),82B23(Secondary)text