symmetric polynomial

A polynomial $f\in R[x_1,\mathrm{\dots },x_n]$ in $n$ variables with coefficients in a ring $R$ is symmetric if $\sigma (f)=f$ for every permutation $\sigma$ of the set $\{x_1,\mathrm{\dots },x_n\}$.

Every symmetric polynomial can be written as a polynomial expression in the elementary symmetric polynomials.

Title	symmetric polynomial
Canonical name	SymmetricPolynomial
Date of creation	2013-03-22 12:08:55
Last modified on	2013-03-22 12:08:55
Owner	djao (24)
Last modified by	djao (24)
Numerical id	7
Author	djao (24)
Entry type	Definition
Classification	msc 13B25
Classification	msc 12F10