#12630: Add representations of quivers and quiver algebras to sage
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       Reporter:  JStarx                         |        Owner:
           Type:  enhancement                    |  AlexGhitza
       Priority:  major                          |       Status:
      Component:  algebra                        |  needs_work
       Keywords:  algebra, quiver, module,       |    Milestone:  sage-5.12
  days49                                         |   Resolution:
        Authors:  Jim Stark, Simon King,         |    Merged in:
  Mathieu Guay-Paquet, Aladin Virmaux            |    Reviewers:  Simon
Report Upstream:  N/A                            |  King
         Branch:                                 |  Work issues:
   Dependencies:  #12412, #12413, #14806         |       Commit:
                                                 |     Stopgaps:
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Changes (by SimonKing):

 * cc: ncohen (added)


Comment:

 Hi Nathann!

 I think you are the person to answer the questions I raised in my previous
 post and on sage-combinat-devel:

 - Are digraphs constructed with `data_structure="static_sparse"`
 considered being immutable? If they are, shouldn't one set the attribute
 `._immutable` to the graph, so that the hash won't complain about
 mutability?
 - Would it be OK from your perspective to add the methods for creation of
 "free small category" (i.e., directed paths with concatenation), quiver
 representations and quiver algebras to `DiGraph`? Or would you prefer that
 we keep creating a sub-class `Quiver` of `DiGraph` providing these
 methods?

--
Ticket URL: <http://trac.sagemath.org/ticket/12630#comment:126>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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