elementarySymmetric(RingElement) -- expression in terms of elementary symmetric polynomials

Synopsis

• Function: elementarySymmetric

• Usage:

  elementalSymm f

• Inputs:
  • f, a ring element, a symmetricRingElement
• Outputs:
  • the expression of f in terms of the elementary symmetric functions e_i

Description

i1 : n=5;

i2 : R=QQ[x_1..x_n];

i3 : f=(product gens R)*(sum gens R);

i4 : elementarySymmetric f

o4 = e e
      1 5

o4 : QQ[x ..x , e ..e ]
         1   5   1   5

This function should work up to a size of 15 variables in the base ring

This function is part of the package SymmetricPolynomials.

Caveat