symmetric polynomial


A polynomialMathworldPlanetmathPlanetmathPlanetmath fR[x1,,xn] in n variablesMathworldPlanetmath with coefficients in a ring R is symmetricPlanetmathPlanetmath if σ(f)=f for every permutationMathworldPlanetmath σ of the set {x1,,xn}.

Every symmetric polynomialMathworldPlanetmath 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