muEC::SP::TableX – table of all Schubert polynomials
The muEC::SP::TableX function returns the table of all Schubert polynomials indexed by permutations in . The polynomials are expressed in the basis of monomials.
When called with the second argument Pe, it returns the table of all Schubert polynomials in , expressed in the dual basis of the monomial basis, i.e. the basis of products of elementary symmetric functions on an alphabet flag. For instance, Pe[1, 2, 0, 1, 0] stands for the product e1(x1,x2,x3,x4)*e2(x1,x2,x3)*e1(x1).
Call:
muEC::SP::TableX(n)
Parameters:
n: |
any positive integer denoting the degree of a symmetric group |
Related Functions:
t:=muEC::SP::TableX(3);
t[ [2,3,1] ];
muEC::SP::TableX(3, Pe);