2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117941A universal weight function for a quantum affine algebra is a family of functions with values in a quotient of its Borel subalgebra, satisfying certain coalgebraic properties. In representations of the quantum affine algebra it gives off-shell Bethe vectors and is used in the construction of solutions of the qKZ equations. We construct a universal weight function for each untwisted quantum affine algebra, using projections onto the intersection of Borel subalgebras of different types, and study its functional properties.36 pages, 1 figure, references to the related papers addedQuantum AlgebraMathematical PhysicsExactly Solvable and Integrable Systems17B37, 16W30, 81R50text