PART::PCore2Part --
a partition from its p-core and p-quotient
Call(s)
PART::PCore2Part(pcore)
Parameterspcore | - | a list of lists |
Introduction
The function PART::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 part);
v0, v1, ..., v{p-1} are the
partitions obtained by sorting
part[1], part[2]-1, part[3]-2, ... according to their
residue modulo p.
Example 1>> muEC::PART::Part2PCore( [5,5,5,4,3,3,2,1,1,1], 3 );
[[2, 2, 1, 1], [1, 1, 1], [1], [3, 1]]
>> muEC::PART::PCore2Part( % );
[5, 5, 5, 4, 3, 3, 2, 1, 1, 1]
Related FunctionsMuPAD Combinat, an open source algebraic combinatorics package