SP, a Package for Schubert Polynomials Realized with the Computer Algebra System MAPLE

We present theSPpackage devoted to the manipulation of Schubert polynomials. These polynomials contain as a subfamily the Schur symmetric functions and allow to extend to non symmetric polynomials the classical combinatorial techniques of the theory of symmetric functions. They have many applications, ranging from multivariate interpolation to intersection theory in algebraic geometry.