2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100911We consider Knapp-Vogan Hecke algebras in the quantum group setting. This allows us to produce a quantum analogue of the Bernstein functor as a first step towards the cohomological induction for quantum groups.LaTeX2e, 16 pages; some inessential corrections have been introducedQuantum Algebratext