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SYMF::SfOmega -- applies the Omega-automorphism

Call(s)


SYMF::SfOmega(sf)

Parameters

sf- any symmetric function

Introduction

The SYMF::SfOmega function applies the omega-automorphism to the symmetric function sf.

This involution is defined as:


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

Example 1

>> muEC::SYMF::SfOmega( h[3] );
                                   e[3]
>> muEC::SYMF::SfOmega( p[4] );
                                   -p[4]

Related Functions

PART::Part2Conjugate, SfTheta

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MuPAD Combinat, an open source algebraic combinatorics package