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

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

When 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].

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Calls:

muEC::SP::TableYY(n)

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

Parameters:

n

any positive integer denoting the degree of a symmetric group

perm

any list denoting a permutation

Related Functions:

muEC::SP::TableY

Example 1:

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

math

t[ [0,1,0] ];

math

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

math