#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-5.11
Component: algebra |
Resolution:
Keywords: algebra, quiver, module, days49 |
Work issues: Quivers with loops, coercion free small category -> algebra.
Methods gen, gens, ngens
Report Upstream: N/A |
Reviewers: Simon King
Authors: Jim Stark, Simon King, Mathieu Guay-Paquet, Aladin Virmaux |
Merged in:
Dependencies: #12412, #12413 |
Stopgaps:
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Changes (by SimonKing):
* work_issues: coercion free small category -> algebra. Methods gen,
gens, ngens => Quivers with loops,
coercion free small category ->
algebra. Methods gen, gens, ngens
Comment:
There is a worse problem revealed by the test suites (yes, the category
framework is GREAT!!!).
Namely, the original code did assume acyclic quivers. But now, we want to
support cycles (including loops) as much as possible. However, when a path
is created, then it was still the case that each edge starting and ending
at the same vertex was deleted when multiplying paths.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12630#comment:113>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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