FUNCTION: CTab2Part - compute the shape of a contretableau

CALLING SEQUENCE:

CTab2Part(ct)

TAB[CTab2Part](ct)

PARAMETERS:

ct = any list of list(s) denoting a contretableau

SYNOPSIS:

• The CTab2Part function computes the shape of a contretableau ct. This is the partition whose parts are the lengths of the columns of the contretableau reordered in weakly decreasing order.

• Whenever there is a conflict between the function name CTab2Part and another name used in the same session, use the long form TAB['CTab2Part'].

EXAMPLES:

> with(TAB):
> ctp:=[[1], [2,1], [5,4,2,1], [5,4,3,2,1]]:
> CTab2Part(ctp);
 
                                  [5, 4, 2, 1]
 
> CTab2Mat(ctp);
 
                                 [ 1  2  5  5 ]
                                 [            ]
                                 [    1  4  4 ]
                                 [            ]
                                 [       2  3 ]
                                 [            ]
                                 [       1  2 ]
                                 [            ]
                                 [          1 ]