I am interested in knowing the name of any of this characteristics of a Young tableaux (Ferrer's diagram): Smallest rectangle that contains it or the area of such a rectangle. For instance:
Partition (3,2,2,1,1):
1
1 1 1
1 1 1 1 1
is contained in rectangle 3x5 as per 3 is its longest part and is formed by 5 parts. Consequently, corresponding rectangle's area is 15.
Some literature about it, normally related to integer partitions classification, would be also much appreciated.
Thanks!