SYMF::SfCCProd --
computes the conjugacy class product of symmetric functions
Call(s)
SYMF::SfCCProd(sf1,sf2)
Parameterssf1, sf2 | - | any symmetric functions |
Introduction
The SYMF::SfCCProd function computes the conjugacy class product of symmetric
functions sf1 and sf2.
This product is defined, on the Schur basis, to be
in which fs[lambda]xs[mu]= 0 (lambda<>mu),s[lambda]xs[lambda]=s[lambda]/f(lambda),
(lambda) stands for the number of
standard tableaux of shape lambda.
The result is expressed in the basis of Schur functions.
Example 1>> muEC::SYMF::SfCCProd(s^2*s[2,1,1] + s[3,1], q*s[2,1,1]);
2
q s s[2, 1, 1]
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3
Related FunctionsMuPAD Combinat, an open source algebraic combinatorics package