#12630: Add representations of quivers and quiver algebras to sage
-------------------------------------+-------------------------------------
       Reporter:  JStarx             |        Owner:  AlexGhitza
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.1
      Component:  algebra            |   Resolution:
       Keywords:  algebra, quiver,   |    Merged in:
  module, days49                     |    Reviewers:  Simon King
        Authors:  Jim Stark, Simon   |  Work issues:
  King, Mathieu Guay-Paquet, Aladin  |       Commit:
  Virmaux                            |  72fb2eb71459f4ac76b0d922a7ad788c660a8017
Report Upstream:  N/A                |     Stopgaps:
         Branch:                     |
  u/SimonKing/ticket/12630           |
   Dependencies:  #12412, #12413,    |
  #14806, #15491, #15623             |
-------------------------------------+-------------------------------------
Changes (by nthiery):

 * changetime:  01/30/14 06:55:18 => 01/30/14 06:55:18


Comment:

 Hi Nathann, Simon,

 Just random suggestions. Adding those methods to digraphs sounds
 reasonable, with slightly more explict names like
 {{{Q.path_semigroup()}}} and {{{Q.path_algebra()}}}. The latter could
 possibly be {{{Q.path_semigroup().algebra(QQ)}}}.

 For {{{Q.all_paths()}}}, it depends on the meaning. If it's about
 listing the paths, we can just do {{{Q.path_semigroup().list()}}}.  If
 it's about modelling the set of paths, but without the (partial)
 semigroup structure given by concatenation, then {{{Q.paths()}}} seems
 reasonable.

 Cheers,
                           Nicolas

--
Ticket URL: <http://trac.sagemath.org/ticket/12630#comment:157>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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