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

✍ Scribed by Sébastien Veigneau

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 642 KB
Volume: 23
Category: Article
ISSN: 0747-7171
DOI: 10.1006/jsco.1996.0096

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✦ Synopsis

We present the SP package 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.

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SFA, a Package on Symmetric Functions Considered as Operators over the Ring of Polynomials for the Computer Algebra System Maple

✍ Vincent Prosper 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 302 KB

Symmetric functions can be considered as operators acting on the ring of polynomials with coefficients in R. We present the package SFA, an implementation of this action for the computer algebra system Maple. As an example, we show how to recover different classical expressions of Lagrange inversion