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SFA::Sf2SfA -- from SYMF objects to SFA objects

Call(s)


SFA::Sf2SfA(sf <,alphab>)

Parameters

sf- any valid expression in SYMF
alphab- any alphabet

Introduction

The SFA::Sf2SfA function transforms any symmetric function of the SYMF package into an object of SFA for a specific alphabet (by default A1).

Valid bases for symmetric functions are e, h, p, s, m.

Allowed alphabet expressions are linear combinations of formal alphabets A1, A2, A3, .... For instance 3/2*A1 - A3 + 3/4 is valid.

The inverse function is SfA2Sf.

Example 1

>> muEC::SFA::Sf2SfA( s[3,1]*p[2] - e[2,1] );
                    p[2](A1) s[3, 1](A1) - e[2, 1](A1)
>> muEC::SFA::Sf2SfA( s[3,1]*p[2] - e[2,1], A2 );
                    p[2](A2) s[3, 1](A2) - e[2, 1](A2)
>> muEC::SFA::Sf2SfA( s[2,2], 2*A3 );
                               s[2, 2](2 A3)

Related Functions

SfA2Sf, TYP::Sf, TYP::SfA

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MuPAD Combinat, an open source algebraic combinatorics package