FUNCTION: ListStdTab - generate all standard tableaux

CALLING SEQUENCE:

ListStdTab(n)

TAB[ListStdTab](n)

PARAMETERS:

n = any positive integer

SYNOPSIS:

• The ListStdTab function generates all standard tableaux on n letters.

• When called with a second parameter, say 'nb', it returns the number of standard tableaux on n letters.

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

EXAMPLES:

> with(TAB):
> ListStdTab(3);
 
          [[[1, 2, 3]], [[2], [1, 3]], [[3], [1, 2]], [[3], [2], [1]]]
 
> map(Tab2Mat, ListStdTab(3));
 
                                                     [ 3 ]
                                 [ 2    ]  [ 3    ]  [   ]
                   [[ 1  2  3 ], [      ], [      ], [ 2 ]]
                                 [ 1  3 ]  [ 1  2 ]  [   ]
                                                     [ 1 ]
 
> ListStdTab(15, 'nb');
 
                                   10349536