, expressed in the Schubert basis. muEC::SP::TablePe – table of the Pe-basis
The muEC::SP::TablePe function returns the table of all elements of the Pe-basis, which is the dual basis of the basis of (increasing) monomials (less than the “staircase” monomial), 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).
When called with the second argument X, it returns the table of all polynomials in , expressed in the Schubert basis.
Call:
muEC::SP::TablePe(n)
Parameters:
|
n: |
any positive integer denoting the degree of a symmetric group |
Related Functions:
muEC::SP::TableX, muEC::SP::TableXX
t:=muEC::SP::TablePe(3);
muEC::SP::TablePe(3, X);
