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SG::Rd2Perm -- calculates a permutation from a decomposition

Call(s)


SG::Rd2Perm(rd <,n>)

Parameters

rd- any list denoting a decomposition
n- degree of a symmetric group (positive integer)

Introduction

The SG::Rd2Perm function calculates the permutation corresponding to the list rd, the entries of rd being interpreted as simple transpositions. Let rd=[i,j,k,...], then SG::Rd2Perm(rd)= MultPerm(si, sj, sk, ...) where si stands for SgTranspo(i, n).

When the second argument is not present, n is the smallest possible degree.

The decomposition needs not to be reduced.

Example 1

>> muEC::SG::Rd2Perm( [1,2,1], 5 );
                              [3, 2, 1, 4, 5]
>> muEC::SG::Rd2Perm( [1,2,1] );
                                 [3, 2, 1]

Related Functions

Perm2Rd

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MuPAD Combinat, an open source algebraic combinatorics package