#12630: Add representations of quivers and quiver algebras to sage
-------------------------------------+-------------------------------------
       Reporter:  JStarx             |        Owner:  AlexGhitza
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.2
      Component:  algebra            |   Resolution:
       Keywords:  algebra, quiver,   |    Merged in:
  module, days49                     |    Reviewers:  Simon King
        Authors:  Jim Stark, Simon   |  Work issues:  QuiverRepHom must not
  King, Mathieu Guay-Paquet, Aladin  |  implement __call__
  Virmaux                            |       Commit:
Report Upstream:  N/A                |  50eb7bde26c2a0c688e0500918597591097aa0cb
         Branch:                     |     Stopgaps:
  public/combinat/quivers            |
   Dependencies:  #12412, #12413,    |
  #14806, #15491, #15623, #15810     |
-------------------------------------+-------------------------------------

Comment (by SimonKing):

 Aha! That's why: The `_coerce_map_from_` method compares the underlying
 quivers by `<=`. In the original implementation, we had a dedicated class
 for quivers, with a  `__cmp__` method. But now we are using `DiGraph`, and
 their comparison is not what we want.

 Hence, in `_coerce_map_from_` we need to do what we used to do in
 `__cmp__`---we need a subgraph check.

--
Ticket URL: <http://trac.sagemath.org/ticket/12630#comment:223>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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