FUNCTION: SkewPart2Mat - a planar representation of a skew partition

CALLING SEQUENCE:

SkewPart2Mat(skp)

PART[SkewPart2Mat](skp)

PARAMETERS:

skp = a skew part

SYNOPSIS:

• The SkewPart2Mat function gives a planar representation of a skew partition.

• A skew partition is a list of two partitions p1 and p2 such that p1 is greater than p2 (with respect to inclusion of diagrams).

• The following option is allowed:
  'alphabet' = l where l is a list of 1 to 3 components, l[1] filling the skew diagram, l[2] the inner diagram and l[3] the outside.

• Whenever there is a conflict between the function name SkewPart2Mat and another name used in the same session, use the long form PART['SkewPart2Mat'].

EXAMPLES:

> with(PART):
> SkewPart2Mat([[3,2],[2]]);
 
                                  [ 1  1  0 ]
                                  [         ]
                                  [ 0  0  1 ]
 
> SkewPart2Mat([[3,2],[2]], 'alphabet'=[`#`,`.`,` `]);
 
                                  [ #  #    ]
                                  [         ]
                                  [ .  .  # ]
 
> map(SkewPart2Mat, ListSkewDiag(3));
 
                                           [ 1  0  0 ]
                 [ 1  0  0 ]  [ 1  1  0 ]  [         ]  [ 1  0 ]  [ 1  1 ]
   [[ 1  1  1 ], [         ], [         ], [ 0  1  0 ], [      ], [      ],
                 [ 0  1  1 ]  [ 0  0  1 ]  [         ]  [ 1  1 ]  [ 0  1 ]
                                           [ 0  0  1 ]
 
       [ 1  0 ]  [ 1  0 ]  [ 1 ]
       [      ]  [      ]  [   ]
       [ 0  1 ], [ 1  0 ], [ 1 ]]
       [      ]  [      ]  [   ]
       [ 0  1 ]  [ 0  1 ]  [ 1 ]