SYMF::Char2Sf --
converts a virtual character into a symmetric function
Call(s)
SYMF::Char2Sf(expr)
Parametersexpr | - | any linear combination of cl[part] for any partition part |
IntroductionThe 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 SYMF::Char2Sf function realizes the isomorphism between class
functions on the symmetric group of degree n and
homogeneous symmetric functions of degree n.
Example 1>> muEC::SYMF::Char2Sf( cl[5,3,1,1] )
p[5, 3, 1, 1]
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Related FunctionsSfInternal, SfPlethysm, Sf2Char, SfZee
MuPAD Combinat, an open source algebraic combinatorics package