muEC::SYMF::Sf2Char( s[3,1,1] );
muEC::SYMF::Sf2Char( p[3]*s[3] - e[4] );
muEC::SYMF::Sf2Char – converts a symmetric function into a virtual character
The muEC::SYMF::Sf2Char function converts a symmetric function into a virtual character. This function is the inverse of Char2Sf.
The muEC::SYMF::Sf2Char function realizes the isomorphism between the linear space of homogeneous symmetric functions of degree n and class functions on the symmetric group of degree n (Frobenius isomorphism).
The result is a linear combination of cl[part] where part is a partition.
Call:
muEC::SYMF::Sf2Char(sf)
Parameters:
|
sf: |
any symmetric function |
Related Functions:
muEC::SYMF::Char2Sf, muEC::SYMF::SfInternal, muEC::SYMF::SfPlethysm, muEC::SYMF::SfZee
muEC::SYMF::Sf2Char( s[3,1,1] );
muEC::SYMF::Sf2Char( p[3]*s[3] - e[4] );