CONICET | Buscador de Institutos y Recursos Humanos

In this article we present DiffAlg, a differential algebra package for Macaulay2. It can perform the following operations: wedge products and exterior differential of differential forms, contraction and Lie derivative of a differential form with respect to a vector field and Lie brackets between vector fields.Given a homogeneous differential operator of degree one $D$, the lack of an algebraic module structure attached to the kernel or image of $D$ hinders the study of $D$. The main purpose of DiffAlg is to handle these spaces degree-wise.