2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125834The generalized vector is defined on an $n$ dimensional manifold. Interior product, Lie derivative acting on generalized $p$-forms, $-1\le p\le n$ are introduced. Generalized commutator of two generalized vectors are defined. Adding a correction term to Cartan's formula the generalized Lie derivative's action on a generalized vector field is defined. We explore various identities of the generalized Lie derivative with respect to generalized vector fields, and discuss an application.10 pagesMathematical PhysicsHigh Energy Physics - Theorytext