SYMF::SfOmega --
applies the Omega-automorphism
Call(s)
SYMF::SfOmega(sf)
Parameterssf | - | any symmetric function |
Introduction
The SYMF::SfOmega function applies the omega-automorphism to the symmetric
function sf.
This involution is defined as:
h[i] ->> e[i],
e[i] ->> h[i],
p[i] ->> (-1)^(i-1) p[i].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 FunctionsMuPAD Combinat, an open source algebraic combinatorics package