#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:  Split into 
different modules. Use parents and elements.
Report Upstream:  N/A                              |     Reviewers:             
                                            
        Authors:  Jim Stark, Simon King            |     Merged in:             
                                            
   Dependencies:  #12412, #12413                   |      Stopgaps:             
                                            
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Comment (by SimonKing):

 Here are the current failures:
 {{{
 sage -t sage/quivers/paths.py  # 91 doctests failed
 sage -t sage/quivers/representation.py  # 450 doctests failed
 sage -t sage/quivers/homspace.py  # 127 doctests failed
 sage -t sage/quivers/free_small_category.py  # ValueError in doctesting
 framework
 sage -t sage/quivers/quiver.py  # 118 doctests failed
 sage -t sage/quivers/algebra.py  # 78 doctests failed
 sage -t sage/quivers/morphism.py  # 290 doctests failed
 }}}

 Scary. But I guess most of them are due to change of syntax. In the
 original code, one was able to create a paths without reference to a
 quiver, and then multiply them. In the new code, one needs to have a
 quiver, get the associated free small category, and construct elements of
 it. I think this is cleaner. And after all, in real applications, we
 ''have'' a quiver.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12630#comment:50>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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