#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:  mutability of quiver
  King, Mathieu Guay-Paquet, Aladin  |  representation elements
  Virmaux                            |       Commit:
Report Upstream:  N/A                |  b2248e0da6dcd8b6c07ff91db00491ce673576e8
         Branch:                     |     Stopgaps:
  public/combinat/quivers            |
   Dependencies:  #12412, #12413,    |
  #14806, #15491, #15623, #15810     |
-------------------------------------+-------------------------------------

Comment (by SimonKing):

 Concerning hash: I believe it is bad that the hash depends on the name
 (that's a general problem, though):
 {{{
 sage: Q = DiGraph({1:{2:['a'], 3:['b']}, 2:{4:['c']},
 3:{4:['d']}}).path_semigroup()
 sage: P = Q.P(QQ, 2)
 sage: v = P.zero()
 sage: v.set_element([1], 2)
 sage: hash(v)
 1669587902
 sage: v.rename('foobar')
 sage: hash(v)
 -1969371895
 }}}
 So, I suggest that (in addition to making `set_element` private) I
 implement a hash based on the data that is used for comparison.

--
Ticket URL: <http://trac.sagemath.org/ticket/12630#comment:239>
Sage <http://www.sagemath.org>
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