2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61899A construction of the quantum affine algebra $U_q(g)$ is given in two steps. We explain how to obtain the algebra from its positive Borel subalgebra $U_q(b^+)$, using a construction similar to Drinfeld's quantum double. Then we show how the positive Borel subalgebra can be constructed with quantum shuffles.Quantum Algebra17B37; 17B67text