#12630: Add representations of quivers and quiver algebras to sage
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Reporter: JStarx | Owner: AlexGhitza
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.2
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):
Hi Nathann!
Replying to [comment:169 ncohen]:
> What can you do with the `*list*` of paths ? Even checking whether a
path is in the list is probably faster by using the graph itself `O_o`
You misunderstood: I don't intend to keep a list containing paths. But
currently, a path is implemented as a list of edges, and an edge is a
triple "startpoint, endpoint, label". Instead, a path should be a `*long`,
at least in my applications.
> Are you open to "bets" on the meaning of "later" ? `:-P`
A month, maybe two. It must not be much longer, since my grant is centred
around an implementation of Faugère's F5 algorithm, generalised for path
algebra quotients (punch line: in contrast to other famous Gröbner basis
algorithms, F5 can compute minimal generating sets for modules).
So, I have a financial interest in having a decent implementation of path
algebras soon. And in fact I have something, but it should be rebased on
top of this ticket (currently, my own implementation is independent of
this ticket, which means there is some code duplication).
Best regards,
Simon
--
Ticket URL: <http://trac.sagemath.org/ticket/12630#comment:170>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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