#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-5.11                                                       
      Component:  algebra                                                     | 
   Resolution:                                                                  
       Keywords:  algebra, quiver, module, days49                             | 
  Work issues:  Fix doctests. Use existing infrastructure for homspace/morphism.
Report Upstream:  N/A                                                         | 
    Reviewers:                                                                  
        Authors:  Jim Stark, Simon King, Mathieu Guay-Paquet, Aladin Virmaux  | 
    Merged in:                                                                  
   Dependencies:  #12412, #12413                                              | 
     Stopgaps:                                                                  
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Comment (by SimonKing):

 I saw today that Quiver is still using a `UniqueFactory`, which, I think,
 it should not do. It should use `UniqueRepresentation`, and actually I
 thought that I had done the change already in my first patch.

 Pro: With `UniqueRepresentation`, it has ''much'' faster comparison and
 hash.

 Con: If you want to compare a quiver Q and a digraph D, you may have
 `D==Q` but `Q!=D`. I, for one, would accept this drawback.

 I suggest that I will do the transition to `UniqueFactory` on top of
 trac_12630_quivers_v2.patch quiver_distributed_code.patch
 trac_12630_fix_import_statement.patch trac_12630_fix_some_errors.patch,
 and we can take care of the last few remaining errors after this change.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12630#comment:71>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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