Macaulay2 » Documentation
Packages » Permutations :: VisibleList _ Permutation
next | previous | forward | backward | up | index | toc

VisibleList _ Permutation -- computes the action of a permutation on a list

Description

A permutation $p$ acts on the elements of list by permuting the elements of the list according to the permutation. More precisely, if $L = \{ e_1, \dots, e_k \}$ is a list and $p=(p_1, \dots, p_n)$ is a permutation, then the action is given by $p*L = \{ e_{p(1)}, \dots, e_{p(k)}}$.

The permutation cannot permute more than #l elements.

i1 : p = permutation {3,1,2,5,4,7,6}

o1 = Permutation{3, 1, 2, 5, 4, 7, 6}

o1 : Permutation
i2 : L = {3,1,2,5,4,6,7}

o2 = {3, 1, 2, 5, 4, 6, 7}

o2 : List
i3 : L_p

o3 = {2, 3, 1, 4, 5, 7, 6}

o3 : List

The permutation can be a permutation on less than #l elements.

i4 : p = permutation {3,1,2,4,5}

o4 = Permutation{3, 1, 2, 4, 5}

o4 : Permutation
i5 : L = {3,1,2,5,4,6,7}

o5 = {3, 1, 2, 5, 4, 6, 7}

o5 : List
i6 : L_p

o6 = {2, 3, 1, 5, 4, 6, 7}

o6 : List

See also

Ways to use this method:


The source of this document is in /build/reproducible-path/macaulay2-1.25.05+ds/M2/Macaulay2/packages/Permutations/Documentation/operationsDocs.m2:178:0.