2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106004Complete sets of bases of differential invariants, operators of invariant differentiation and Lie determinants of continuous transformation groups acting on the real plane are constructed. As a necessary preliminary, realizations of finite-dimensional Lie algebras on the real plane are revisited.15 pages, essentialy extended and corrected versionMathematical PhysicsClassical Analysis and ODEsExactly Solvable and Integrable Systems34C14, 16W22, 22E99, 58D19text