FUNCTION: Frob2Part - from Frobenius notation to standard notation for partitions

CALLING SEQUENCE:

Frob2Part(frob)

PART[Frob2Part](frob)

PARAMETERS:

frob = a list of two decreasing lists of the same length

SYNOPSIS:

• The Frob2Part function computes a partition from its Frobenius symbol; that is the decomposition of its diagram into diagonal hooks. The inverse function is Part2Frob.

• The input is a list of two lists (list of diagonal arms, list of diagonal legs).

• The result is a list denoting a partition.

• Whenever there is a conflict between the function name Frob2Part and another name used in the same session, use the long form PART['Frob2Part'].

EXAMPLES:

> with(PART):
> Frob2Part([[6,3,0], [4,2,1]]);
 
                            [7, 5, 3, 3, 1]