muEC::SP::TableXX – table of all double Schubert polynomials

The muEC::SP::TableXX function returns the table of all double Schubert polynomials indexed by permutations in math. The polynomials are expressed in the basis of monomials.

When the function is called with the second argument perm, the second alphabet (the yi's) is specialized as the permutation perm of the first one (the xi's): in other words, y.i is sent to x.perm[i].

→ Examples

Calls:

muEC::SP::TableXX(n)

muEC::SP::TableXX(n, perm)

Parameters:

n

any positive integer denoting the degree of a symmetric group

perm

any list denoting a permutation

Related Functions:

muEC::SP::TableX

Example 1:

t:=muEC::SP::TableXX(3);

math

t[ [3,1,2] ];

math

muEC::SP::TableXX(3, [3,2,1]);

math