2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/88086We construct the vector space dual to the space of right-invariant differential forms construct from a first order differential calculus on inhomogeneous quantum group. We show that this vector space is equipped with a structure of a Hopf algebra which closes on a noncommutative Lie algebra satisfying a Jacobi identity.11 pages, LaTeX, no figuresQuantum Algebratext