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SG::Perm2RRep -- calculates the matrix representing a permutation in the regular representation

Call(s)


SG::Perm2RRep(perm)

Parameters

perm- any list denoting a permutation

Introduction

The SG::Perm2RRep function calculates the matrix representing perm in the regular representation. It amounts to consider perm as the linear operator acting on permutations by left multiplication.

Example 1

>> muEC::SG::Perm2RRep( [2,3,1] );
                          +-                  -+
                          |  0, 0, 0, 0, 1, 0  |
                          |                    |
                          |  0, 0, 0, 0, 0, 1  |
                          |                    |
                          |  0, 1, 0, 0, 0, 0  |
                          |                    |
                          |  1, 0, 0, 0, 0, 0  |
                          |                    |
                          |  0, 0, 0, 1, 0, 0  |
                          |                    |
                          |  0, 0, 1, 0, 0, 0  |
                          +-                  -+
>> muEC::SG::RRep2Perm( % );
                                 [2, 3, 1]

Related Functions

Mat2Perm, Perm2Mat, RRep2Perm

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MuPAD Combinat, an open source algebraic combinatorics package