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SFA::TosA -- develops any symmetric function on the s-basis

Call(s)


SFA::TosA(sfa <,alist>)

Parameters

sfa- any valid expression of SFA
alist- a list of alphabets

Introduction

The SFA::TosA function analyses sfa and develops any symmetric function in sfa on the basis of s-polynomials.

One can develop only symmetric functions of which alphabets are given in the optional argument.

Example 1

>> muEC::SFA::TosA( h[4,3](2*A1) );
                       s[7](2 A1) + 3 s[5, 2](2 A1)
>> muEC::SFA::TosA( s[3,1](2*A1)*m[2,1](A2^2), [ A2^2, A3 ] );
                                      2                   2
             s[3, 1](2 A1) (s[2, 1](A2 ) - 2 s[1, 1, 1](A2 ))
>> muEC::SFA::TosA( s[4]( p[4,3](2*A1) )^2 + q*p[2](A2),
         [ p[4,3](2*A1) ] );
                    q p[2](A2) + s[8](p[4, 3](2 A1)) +
                    4 s[5, 3](p[4, 3](2 A1))

Related Functions

ToeA, TohA, TomA, TopA, TYP::SfA, SYMF::Tos, SfAExpand

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MuPAD Combinat, an open source algebraic combinatorics package