#20259: Polyhedron.restricted_automorphism_group(): allow returning the affine
matrix group
-------------------------------------+-------------------------------------
Reporter: jdemeyer | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-7.2
Component: geometry | Resolution:
Keywords: | Merged in:
Authors: Jeroen Demeyer | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/jdemeyer/polyhedron_restricted_automorphism_group____allow_returning_the_affine_matrix_group|
4163d004cbe53b6bc73d3a81d8b9cf9d8d3acd88
Dependencies: | Stopgaps:
-------------------------------------+-------------------------------------
Comment (by vbraun):
Nice!
Can we rename `kind` to `output`, `representation`, or something like
that? It always returns the same abstract group, not different kinds of
automorphism groups.
There should be some discussion about what the returned matrix groups are.
Something like:
If the polyhedron is not full dimensional, the linear automorphism group
is infinite as it can act arbitrarily in the orthogonal directions.
Nevertheless, as a permutation group, the restricted automorphism group is
finite. It has a natural representation as the subset of linear
automorphisms that act trivially in the orthogonal directions. Use the
`output='matrix'` option to return it.
--
Ticket URL: <http://trac.sagemath.org/ticket/20259#comment:18>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at https://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.
