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## `SG::SgDimRep` -- computes the dimension of a representation

#### Call(s)

`SG::SgDimRep(part)`

#### Parameters

`part` | - | any list denoting a (skew) partition

#### Introduction

The `SG::SgDimRep` function computes the dimension of the irreducible representation of index `part`, for the symmetric group of order the weight of `part`.

When part is a skew partition, it computes the dimension of the representation indexed by the skew partition `part[1]/part[2]`.

Adding the parameter `q`, it computes the specialization of `s[part]` or `s[part[1]/part[2]]` in x1=1, x2=`q`, ....

#### Example 1

    >> muEC::SG::SgDimRep( [4,4,3,2,1,1,1] );

                                      512512

    >> muEC::SG::SgDimRep( [[4,2,1,1], [2,1]] );

                                        30

    >> muEC::SG::SgDimRep([[4,2,1,1], [2,1]], q);

                          2        2            2    3    4
                  q (q + q  + 1) (q  + 1) (q + q  + q  + q  + 1)

#### Related Functions

`SgCharTable`

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MuPAD Combinat, an open source algebraic combinatorics package