#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: Make HomSpace inherit from Homset; remove UniqueFactory of
Homspace, Homspace.__contains__, make TestSuite work
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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Comment (by SimonKing):
Replying to [comment:102 SimonKing]:
> It might be reasonable ''for now'' to overload `__call__`, by first
trying what is now done in the `_element_constructor_`, but using an
element_class. And only if this fails, `Homset.__call__` should be called.
The update of the third patch implements this short term solution.
Still TODO:
- I found that still some tests start with importing Quiver. This is not
needed. Quiver, in contrast to everything else of the new stuff, is in the
global namespace.
- Get rid of the unique factory
- Now, as element_class is available for the Homspaces, use it! Hence, do
not create `QuiverRepHom`, but always create homomorphisms by means of the
element_class.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12630#comment:103>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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