#12630: Add representations of quivers and quiver algebras to sage
-------------------------------------+-------------------------------------
       Reporter:  JStarx             |        Owner:  AlexGhitza
           Type:  enhancement        |       Status:  closed
       Priority:  major              |    Milestone:  sage-6.3
      Component:  algebra            |   Resolution:  fixed
       Keywords:  algebra, quiver,   |    Merged in:
  module, days49                     |    Reviewers:  Simon King, Travis
        Authors:  Jim Stark, Simon   |  Scrimshaw
  King, Mathieu Guay-Paquet, Aladin  |  Work issues:
  Virmaux                            |       Commit:
Report Upstream:  N/A                |     Stopgaps:
         Branch:                     |
  f3402ef849622e1f5a7d88205c2911ecd6d03ffa|
   Dependencies:  #12412, #12413,    |
  #14806, #15491, #15623, #15810     |
-------------------------------------+-------------------------------------

Comment (by darij):

 Personally, I disagree (noncommutative base rings scare me, even as a
 noncommutative algebraist), but this is a tough question. For me, the base
 ring is the ring everything in sight is linear over (including
 noncanonical splittings and other auxiliary constructs). Whether QQ or
 QQ['t'] is the base ring of QQ['t']^3 should really be up to the user to
 decide, not up to Sage; it depends on what one is doing. It being an
 attribute is a structural weakness of Sage that will bite us if we start
 doing serious algebra.

--
Ticket URL: <http://trac.sagemath.org/ticket/12630#comment:273>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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