FUNCTION: Tab2Part - compute the shape of a tableau

CALLING SEQUENCE:

Tab2Part(t)

TAB[Tab2Part](t)

PARAMETERS:

t = any list of list(s) denoting a tableau

SYNOPSIS:

• The Tab2Part function computes the shape of a tableau t. This is the partition whose parts are the lengths of the rows of the tableau reordered in weakly decreasing order.

• Whenever there is a conflict between the function name Tab2Part and another name used in the same session, use the long form TAB['Tab2Part'].

EXAMPLES:

> with(TAB):
> t:=[[3], [2,3], [1,2,5,6]]:
> Tab2Part(t);
 
                                   [4, 2, 1]
 
> Tab2Mat(t);
 
                                 [ 3          ]
                                 [            ]
                                 [ 2  3       ]
                                 [            ]
                                 [ 1  2  5  6 ]