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## `SYMF::SfJtMat` -- computes the Jacobi-Trudi matrix

#### Call(s)

`SYMF::SfJtMat(part <,b>)`

#### Parameters

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

#### Introduction

The `SYMF::SfJtMat` function computes the Jacobi-Trudi matrix corresponding to the (skew) partition `part`. The determinant of this matrix is exactly the Schur function indexed by the partition, expressed in the `h`-basis.

When given a second argument, `b`, `SYMF::SfJtMat` returns a result expressed on the `b`-basis.

#### Example 1

    >> muEC::SYMF::SfJtMat( [3,2,1,1] );

                           +-                        -+
                           |  h[3], h[4], h[5], h[6]  |
                           |                          |
                           |  h[1], h[2], h[3], h[4]  |
                           |                          |
                           |    0,    1,  h[1], h[2]  |
                           |                          |
                           |    0,    0,    1,  h[1]  |
                           +-                        -+

    >> muEC::SYMF::SfJtMat( [[2,1], [1]] );

                                 +-            -+
                                 |  h[1], h[3]  |
                                 |              |
                                 |    0,  h[1]  |
                                 +-            -+

    >> muEC::SYMF::SfJtMat( [[2,2,1], [1,1,1]], b );

                              +-                  -+
                              |  b[1], b[2], b[3]  |
                              |                    |
                              |    1,  b[1], b[2]  |
                              |                    |
                              |    0,    0,    1   |
                              +-                  -+

#### Related Functions

`Iss`

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MuPAD Combinat, an open source algebraic combinatorics package