[Previous] [Next] [Contents]

SFA::TopA -- develops any symmetric function on the p-basis

Call(s)


SFA::TopA(sfa <,alist>)

Parameters

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

Introduction

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

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

Example 1

>> muEC::SFA::TopA( s[3](2*A1) );
               p[3](2 A1)   p[2, 1](2 A1)   p[1, 1, 1](2 A1)
               ---------- + ------------- + ----------------
                    3             2                 6
>> muEC::SFA::TopA( s[3,1](2*A1)*m[2,1](A2^2), [ A2^2, A3 ] );
                                        2              2
                - s[3, 1](2 A1) (p[3](A2 ) - p[2, 1](A2 ))

>> muEC::SFA::TopA( s[2]( p[4,3](2*A1) ) + q*m[2,1](A2^2),
         [ p[4,3](2*A1) ] );
       p[2](p[4, 3](2 A1))   p[1, 1](p[4, 3](2 A1))               2
       ------------------- + ---------------------- + q m[2, 1](A2 )
                2                       2

Related Functions

ToeA, TohA, TomA, TosA, TYP::SfA, SYMF::Top, SfAExpand

[Previous] [Next] [Contents]


MuPAD Combinat, an open source algebraic combinatorics package