[Previous] [Next] [Contents]

SFA::SfAOmega -- applies the Omega-automorphism

Call(s)


SFA::SfAOmega(sfa <,alist>)

Parameters

sfa- any symmetric function
alist- a list of alphabets

Introduction

The SFA::SfAOmega function applies the Omega-automorphism to the symmetric function sfa.

This involution is defined as:

        
        

In terms of Schur functions, the involution conjugates the indexing partition.

One can apply SFA::SfAOmega solely on symmetric functions over the alphabets given in the second parameter alist.

Example 1

>> muEC::SFA::SfAOmega( p[3,1](A1) - q*s[3](A2) );
                      p[3, 1](A1) - q s[1, 1, 1](A2)
>> muEC::SFA::SfAOmega( p[3,1](A1) - q*s[3](A2), [ A1 ]);
                         p[3, 1](A1) - q s[3](A2)

Related Functions

SYMF::SfOmega, PART::Part2Conjugate

[Previous] [Next] [Contents]


MuPAD Combinat, an open source algebraic combinatorics package