muEC::SYMF::Char2Sf( cl[5,3,1,1] )
muEC::SYMF::Char2Sf – converts a virtual character into a symmetric function
The muEC::SYMF::Char2Sf function converts a virtual character into a symmetric function expressed on p-basis.
We denote by cl[part], where part is a partition, the class function on the symmetric group that is evaluated to 1 for permutations with cycletype part, and 0 otherwise.
The muEC::SYMF::Char2Sf function realizes the isomorphism between class functions on the symmetric group of degree n and homogeneous symmetric functions of degree n.
Call:
muEC::SYMF::Char2Sf(expr)
Parameters:
|
expr: |
any linear combination of cl[part] for any partition part |
Related Functions:
muEC::SYMF::Sf2Char, muEC::SYMF::SfInternal, muEC::SYMF::SfPlethysm, muEC::SYMF::SfZee
muEC::SYMF::Char2Sf( cl[5,3,1,1] )