#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:  Make HomSpace inherit from Homset; remove UniqueFactory of 
Homspace, Homspace.__contains__, make TestSuite work
Report Upstream:  N/A                                                         | 
    Reviewers:  Simon King                                                      
                                               
        Authors:  Jim Stark, Simon King, Mathieu Guay-Paquet, Aladin Virmaux  | 
    Merged in:                                                                  
                                               
   Dependencies:  #12412, #12413                                              | 
     Stopgaps:                                                                  
                                               
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Comment (by SimonKing):

 It might be reasonable ''for now'' to overload `__call__`, by first trying
 what is now done in the `_element_constructor_`, but using an
 element_class. And only if this fails, `Homset.__call__` should be called.

 On the long run, I believe `Homset.__call__` should instead obey the rules
 of `Parent.__call__`. Hence, it should be possible to implement creation
 of morphisms simply by providing an attribute `Element` to the homset. But
 this would be for a different ticket.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12630#comment:102>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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