2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64916Rosso and Green have shown how to embed the positive part $U_q(n)$ of a quantum enveloping algebra $U_q(g)$ in a quantum shuffle algebra. In this paper we study some properties of the image of the dual canonical basis $B^*$ of $U_q(n)$ under this embedding $Φ$. This is motivated by the fact that when $g$ is of type $A_r$, the elements of $Φ(B^*)$ are $q$-analogues of irreducible characters of the affine Iwahori-Hecke algebras attached to the groups $GL(m)$ over a $p$-adic field.36 pages, final version, to appear in Math. ZeitschriftQuantum AlgebraRepresentation Theory17B37, 20G42, 20C08text