#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:
  King, Mathieu Guay-Paquet, Aladin  |       Commit:
  Virmaux                            |  72fb2eb71459f4ac76b0d922a7ad788c660a8017
Report Upstream:  N/A                |     Stopgaps:
         Branch:                     |
  u/SimonKing/ticket/12630           |
   Dependencies:  #12412, #12413,    |
  #14806, #15491, #15623             |
-------------------------------------+-------------------------------------

Comment (by SimonKing):

 Replying to [comment:172 ncohen]:
 > Hmmmmm... What would you want to change in `neighbor_out_iterator` ?

 Well, in all the "quiver" applications, I want it to iterate over paths-
 of-arrows, but it currently gives paths-of-vertices.

 > My secret hope is that whatever you want `neighbor_out_iterator` to give
 you there is already another way to obtain it, for I don't really want to
 add anything smart in this function which we already try to make FAST.
 Tell me, and we'll find a way.

 I have to check where in the quiver code `all_paths` (or an iterator) is
 really used. There are (of course) iterators over the outgoing arrows of a
 vertex (provided by the backend), and I suppose I can build an iterator on
 top of it.

--
Ticket URL: <http://trac.sagemath.org/ticket/12630#comment:175>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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