[Previous] [Next] [Contents]

## `SYMF::SfCCProd` -- computes the conjugacy class product of symmetric functions

#### Call(s)

`SYMF::SfCCProd(sf1,sf2)`

#### Parameters

`sf1, 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

    s[lambda] x s[mu] = 0 (lambda <> mu),
    s[lambda] x s[lambda] = s[lambda]/f(lambda),

in which f`(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]
                                  ---------------
                                         3

#### Related Functions

`TYP::Sf`

[Previous] [Next] [Contents]

MuPAD Combinat, an open source algebraic combinatorics package