2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73469A holomorphic foliation $\mathscr{F}$ on a compact complex manifold $M$ is said to be an $\mathscr{L}$-foliation if there exists an action of a complex Lie group $G$ such that the generic leaf of $\mathscr{F}$ coincides with the generic orbit of $G$. We study $\mathscr{L}$-foliations of codimension one, in particular in projective space, in the spirit of classical invariant theory, but here the invariants are sometimes transcendantal ones. We give a bestiary of examples and general properties. Some classification results are obtained in low dimensions.Dynamical Systems37F75 ; 14L24 ; 14L30 ; 14L35 ; 22E10text