#12630: Add representations of quivers and quiver algebras to sage
-------------------------------------+-------------------------------------
Reporter: JStarx | Owner: AlexGhitza
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.1
Component: algebra | Resolution:
Keywords: algebra, quiver, | Merged in:
module, days49 | Reviewers: Simon King
Authors: Jim Stark, Simon | Work issues:
King, Mathieu Guay-Paquet, Aladin | Commit:
Virmaux | 72fb2eb71459f4ac76b0d922a7ad788c660a8017
Report Upstream: N/A | Stopgaps:
Branch: |
u/SimonKing/ticket/12630 |
Dependencies: #12412, #12413, |
#14806, #15491, #15623 |
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Comment (by SimonKing):
Hmm. @Nathann: I just see that there might be further methods that would
be added:
- `def is_source(self, vertex)`: Tests whether the vertex is a source in
the quiver.
- `def is_sink(self, vertex)`: Test whether the vertex is a sink in the
quiver.
- `def sources(self)`, `def sinks(self)`: Return the list of all sources
and sinks.
I think these methods make sense for digraphs, and should be added. But
perhaps Nathann disagrees.
Then there also is a method `all_paths`, but I think this should perhaps
be moved to the semigroup, because it is the semigroup (not the digraph
itself) that needs these paths.
--
Ticket URL: <http://trac.sagemath.org/ticket/12630#comment:153>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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