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SP::SpScalarPol -- scalar product on polynomials

Call(s)


SP::SpScalarPol(pol1,pol2,n)

Parameters

pol1- 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 Functions

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MuPAD Combinat, an open source algebraic combinatorics package