#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:  Do not allow
  King, Mathieu Guay-Paquet, Aladin  |  conversion of an arrow that is not
  Virmaux                            |  in the quiver
Report Upstream:  N/A                |       Commit:
         Branch:                     |  b550c5013bef54098cc28c7a8ab34cf0f9fccdf9
  public/combinat/quivers            |     Stopgaps:
   Dependencies:  #12412, #12413,    |
  #14806, #15491, #15623, #15810     |
-------------------------------------+-------------------------------------

Comment (by SimonKing):

 Here's your problem:
 {{{
 sage: P1 = DiGraph({1:{2:['a']}}).path_semigroup()
 sage: P2 = DiGraph({1:{2:['a','b']}}).path_semigroup()
 sage: A1 = P1.algebra(GF(3))
 sage: A2 = P2.algebra(GF(3))
 sage: P2.inject_variables()
 Defining e_1, e_2, a, b
 sage: A1.monomial(b)
 b
 }}}

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Ticket URL: <http://trac.sagemath.org/ticket/12630#comment:228>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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