#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-5.10
Component: algebra | Resolution:
Keywords: algebra, quiver, module | Work issues: Split into
different modules. Use parents and elements.
Report Upstream: N/A | Reviewers:
Authors: Jim Stark | Merged in:
Dependencies: #12412, #12413, #14535 | Stopgaps:
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Comment (by SimonKing):
Replying to [comment:40 chapoton]:
> I think the correct name for the "algebraic structure" containing the
paths is "the free category generated by a quiver".
>
> So maybe a good name can be FreeCategory or FreeSmallCategory ?
True, mathematically. Do you think that the to-be-created class for this
algebraic structure should be implemented as a `Category`, i.e., inherit
from `Category`, with objects corresponding to the vertices of the quiver,
and homsets corresponding to the arrows? Or should it just be ''called''
`FreeSmallCategory`?
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12630#comment:41>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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