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PART::PCore2Part -- a partition from its p-core and p-quotient

Call(s)


PART::PCore2Part(pcore)

Parameters

pcore- 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 Functions

Part2PCore

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MuPAD Combinat, an open source algebraic combinatorics package