SP::SpScalarPol --
scalar product on polynomials
Call(s)
SP::SpScalarPol(pol1,pol2,n)
Parameterspol1 | - | any polynomial expression |
pol2 | - | any polynomial expression |
n | - | any positive integer denoting the degree of a symmetric group |
Introduction
The SP::SpScalarPol function computes the scalar product
<pol1, pol2>
corresponding to the symmetric group of degree n.
<pol1, pol2>=
<pol1 x pol2, 1>.
<pol, 1> is the symmetric function
(in the basis of Schur functions) obtained by applying the maximal divided
difference of Sn to pol.
Example 1>> muEC::SP::SpScalarPol(x1^6*x2, x2^2*x3, 3);
s[4, 2, 1]
Related FunctionsMuPAD Combinat, an open source algebraic combinatorics package