2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99537To give a Cartan calculus on the extended quantum 3d space, the noncommutative differential calculus on the extended quantum 3d space is extended by introducing inner derivations and Lie derivatives.Quantum AlgebraDifferential Geometry17B37; 58B32Cartan Calculus on the Quantum Space ${\cal R}_q^{3}$text