An elementary symmetric polynomial 
is the sum of all products
of 
distinct variables:
 |
The convention is 
, with 
for 
. For example, 
. Products 
give the elementary basis for
symmetric functions.
Elementary Symmetric Polynomial
See also
Chromatic Quasisymmetric Function, Complete Homogeneous Symmetric Polynomial, Shareshian-Wachs Conjecture, Symmetric PolynomialExplore with Wolfram|Alpha
References
Macdonald, I. G. Symmetric Functions and Hall Polynomials, 2nd ed. Oxford, England: Oxford University Press, 1995.Referenced on Wolfram|Alpha
Elementary Symmetric PolynomialCite this as:
Weisstein, Eric W. "Elementary Symmetric Polynomial." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ElementarySymmetricPolynomial.html