SG::Perm2RRep --
calculates the matrix representing a permutation in the
regular representation
Call(s)
SG::Perm2RRep(perm)
Parametersperm | - | 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 FunctionsMuPAD Combinat, an open source algebraic combinatorics package