FUNCTION: PCore2Part - partition from p-core and p-quotient

CALLING SEQUENCE:

PCore2Part(pcore)

PART[PCore2Part](pcore)

PARAMETERS:

pcore = a list of lists

SYNOPSIS:

• The function PCore2Part is the inverse function of Part2PCore.

• pcore is a list [c, v0, v1, ..., v{p-1}]: c is the p-core (obtained by removing all possible outside ribbons of length p from the diagram of a partition; v0, v1, ..., v{p-1} are the partitions obtained by grouping part[1], part[2]-1, part[3]-2, ... according to their classes modulo p.

• Whenever there is a conflict between the function name PCore2Part and another name used in the same session, use the long form PART['PCore2Part'].

EXAMPLES:

> with(PART):
> Part2PCore([5,5,5,4,3,3,2,1,1,1],3);
 
                     [[2, 2, 1, 1], [1, 1, 1], [1], [3, 1]]
 
> PCore2Part([[2, 2, 1, 1], [1, 1, 1], [1], [3, 1]]);
 
                         [5, 5, 5, 4, 3, 3, 2, 1, 1, 1]