Symmetric Interpolation, Exchange Lemma and Sylvester Sums
Commutative Algebra
2016-09-07 v3
Abstract
The theory of symmetric multivariate Lagrange interpolation is a beautiful but rather unknown tool that has many applications. Here we derive from it an Exchange Lemma that allows to explain in a simple and natural way the full description of the double sum expressions introduced by Sylvester in 1853 in terms of subresultants and their Bezout coefficients.
Keywords
Cite
@article{arxiv.1503.00607,
title = {Symmetric Interpolation, Exchange Lemma and Sylvester Sums},
author = {Teresa Krick and Agnes Szanto and Marcelo Valdettaro},
journal= {arXiv preprint arXiv:1503.00607},
year = {2016}
}