#12630: Add representations of quivers and quiver algebras to sage
---------------------------+------------------------------------------------
   Reporter:  JStarx       |          Owner:  AlexGhitza             
       Type:  enhancement  |         Status:  needs_review           
   Priority:  major        |      Milestone:  sage-5.0               
  Component:  algebra      |       Keywords:  algebra, quiver, module
Work_issues:               |       Upstream:  N/A                    
   Reviewer:               |         Author:  JStarx                 
     Merged:               |   Dependencies:  #12412, #12413         
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Comment(by SimonKing):

 Replying to [comment:7 JStarx]:
 > Unfortunately I'm no expert on Auslander-Reiten theory, but I think the
 idea of two separate classes with an easy way of converting makes sense.
 I also think the conversions should be very easy to do, as both classes
 can already take a DiGraph as input.
 >
 > I think the easiest way to work this would be to go ahead and get both
 patches into Sage independently.  After that happens it would only take a
 minor tweak to make the constructors accept Quivers of the other type as
 input.

 That approach makes sense to me. By the way: For my own work (computing
 ext algebras of basic algebras), I'd need finite dimensional ''quotients''
 of quiver algebras ''with'' cycles. So, for now, I think I have to rely on
 my own implementation.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12630#comment:8>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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