SYMF::SfCCProd
--
computes the conjugacy class product of symmetric functions
SYMF::SfCCProd(sf1,sf2)
sf1, sf2 | - | any symmetric functions |
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.
>> muEC::SYMF::SfCCProd(s^2*s[2,1,1] + s[3,1], q*s[2,1,1]);
2 q s s[2, 1, 1] --------------- 3
MuPAD Combinat, an open source algebraic combinatorics package