USING SCHUBERT BASIS TO COMPUTE WITH MULTIVARIATE POLYNOMIALS

Authors
KOHNERT A VEIGNEAU S
Citation
A. Kohnert et S. Veigneau, USING SCHUBERT BASIS TO COMPUTE WITH MULTIVARIATE POLYNOMIALS, Advances in applied mathematics, 19(1), 1997, pp. 45-60
Citations number
18
Categorie Soggetti
Mathematics,Mathematics
Journal title
Advances in applied mathematics → ACNP
ISSN journal
01968858
Volume
19
Issue
1
Year of publication
1997
Pages
45 - 60
Database
ISI
SICI code
0196-8858(1997)19:1<45:USBTCW>2.0.ZU;2-Z
Abstract
Schubert polynomials are a linear basis of the ring of polynomials in x(1),..., x(n) with coefficients in y(1),..., y(n). We describe the mu ltiplicative structure (multiplication by a single variable) of this s pace. We also describe the structure of the ring as a free module of r ank n! over the ring of symmetric polynomials in x,,..., x,. (C) 1997 Academic Press.