2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66946We give closed formulas for all vectors of the canonical basis of a level 2 irreducible integrable representation of $U_v(sl_\infty)$. These formulas coincide at v=1 with Lusztig's formulas for the constructible characters of the Iwahori-Hecke algebras of type B and D.16 pagesQuantum Algebra17B; 20Ctext