2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/205540The study of quantum Lie algebras motivates a use of non-canonical ghosts and anti-ghosts for non-linear algebras, like W-algebras. This leads, for the W_3 and W_3^(2) algebras, to the BRST operator having the conventional cubic form.15 pages, revised version, to appear in J. Math. PhysMathematical PhysicsHigh Energy Physics - TheoryQuantum Algebratext