D.5.2.9 powSumSym

Usage:

powSumSym(l [,N]); l a list of polynomials, N integer

Return:

list of polynomials

Purpose:

computes the expressions for the sums of powers [up to degree N] in terms of the elementary symmetric polynomials (entries of l),

Note:

returns the terms of the Chern character
multiplied by the corresponding factorials

LIB "chern.lib";
// the expressions of the first 3 sums of powers of 3 variables a(1), a(2), a(3)
// in terms of the elementary symmetric polynomials c(1), c(2), c(3):
ring r = 0, (c(1..3)), dp;
list l=(c(1..3));
print(powSumSym(l));
// The first 5 sums in the same situation
print(powSumSym(l, 5));