#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: Use existing infrastructure for Representation, Homspace and
Morphism.
Report Upstream: N/A |
Reviewers:
Authors: Jim Stark, Simon King, Mathieu Guay-Paquet, Aladin Virmaux |
Merged in:
Dependencies: #12412, #12413 |
Stopgaps:
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Comment (by SimonKing):
Note (to myself): This example is currently quite slow.
{{{
sage: Q = Quiver({1:{2:['a', 'b'], 3: ['c', 'd']}, 2:{3:['e']}})
sage: Q.free_module(GF(7)).algebraic_dual()
}}}
According to %prun, the get_matrix method is the culprit:
{{{
ncalls tottime percall cumtime percall filename:lineno(function)
2480 0.403 0.000 2.216 0.001 morphism.py:629(get_matrix)
4960 0.302 0.000 0.308 0.000
dynamic_class.py:324(dynamic_class_internal)
126644 0.222 0.000 0.222 0.000 {isinstance}
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12630#comment:92>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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