fix left and right actions of permutations on matrices

[mwageringel]

As observed in #29553, permutations incorrectly act on matrices via a left action on the rows when multiplying on the right. This ticket fixes the left action to act on the left, and also adds the missing right action on the columns.

sage: S = SymmetricGroup(6)
sage: p, q = S('(1,2,3,4,5,6)'), S('(1,2)(3,4)(5,6)')
sage: M = matrix.diagonal([1..6])
sage: (M * p.matrix()) * q.matrix() == M * (p.matrix() * q.matrix())  # correct
True
sage: (M * p) * q == M * (p * q)  # should be True
False

CC: @tscrim

Component: group theory

Author: Markus Wageringel

Branch/Commit: a9dd308

Reviewer: Travis Scrimshaw

Issue created by migration from https://trac.sagemath.org/ticket/29808

[mwageringel]

Branch: u/gh-mwageringel/29808

[mwageringel]

Author: Markus Wageringel

[mwageringel]

Commit: a9dd308

[mwageringel]

New commits:

a9dd308

29808: fix left/right permutation actions on matrices

[tscrim]

Reviewer: Travis Scrimshaw

[tscrim]

comment:2

LGTM.

[vbraun]

Changed branch from u/gh-mwageringel/29808 to a9dd308