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PART::Part2PCore -- p-core and p-quotient of a partition

Call(s)


PART::Part2PCore(part,p)

Parameters

part- 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 Functions

PCore2Part

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MuPAD Combinat, an open source algebraic combinatorics package