FUNCTION: Part2ListStdTab - generate all standard tableaux of a given shape

CALLING SEQUENCE:

Part2ListStdTab(part)

TAB[Part2ListStdTab](part)

PARAMETERS:

part = any list denoting a partition

SYNOPSIS:

• The Part2ListStdTab function generates all standard tableaux of the given shape part. This is done by generating all Yamanouchi words of a given weight.

• Whenever there is a conflict between the function name Part2ListStdTab and another name used in the same session, use the long form TAB['Part2ListStdTab'].

EXAMPLES:

> with(TAB):
> lst:=Part2ListStdTab([3,1]);
 
        lst := [[[2], [1, 3, 4]], [[3], [1, 2, 4]], [[4], [1, 2, 3]]]
 
> map(Tab2Mat, lst);
 
                   [ 2       ]  [ 3       ]  [ 4       ]
                  [[         ], [         ], [         ]]
                   [ 1  3  4 ]  [ 1  2  4 ]  [ 1  2  3 ]