PART::Part2PCore --
p-core and p-quotient of a partition
Call(s)
PART::Part2PCore(part,p)
Parameterspart | - | a partition |
p | - | an integer |
Introduction
To a partition part and an integer p, the function PART::Part2PCore
associates 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 from the residues modulo p of
part[1], part[2]-1, part[3]-2, ...
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]]
Related FunctionsMuPAD Combinat, an open source algebraic combinatorics package