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## `SYMF::Char2Sf` -- converts a virtual character into a symmetric function

#### Call(s)

`SYMF::Char2Sf(expr)`

#### Parameters

`expr` | - | any linear combination of `cl[part]` for any partition part

#### Introduction

The `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]
                                   -------------
                                         30

#### Related Functions

`SfInternal`, `SfPlethysm`, `Sf2Char`, `SfZee`

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MuPAD Combinat, an open source algebraic combinatorics package