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Using Schubert Basis to Compute with Multivariate Polynomials

✍ Scribed by Axel Kohnert; Sébastien Veigneau

Book ID
102558086
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
241 KB
Volume
19
Category
Article
ISSN
0196-8858

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✦ Synopsis

Schubert polynomials are a linear basis of the ring of polynomials in x , . . . , x 1 n Ž with coefficients in y , . . . , y . We describe the multiplicative structure multiplica-1 n

. tion by a single variable of this space. We also describe the structure of the ring as a free module of rank n! over the ring of symmetric polynomials in x , . . . , x .

📜 SIMILAR VOLUMES

SP, a Package for Schubert Polynomials R
SP, a Package for Schubert Polynomials Realized with the Computer Algebra System MAPLE
✍ Sébastien Veigneau 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 642 KB

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 applicati