#12630: Add representations of quivers and quiver algebras to sage
-------------------------------------+-------------------------------------
       Reporter:  JStarx             |        Owner:  AlexGhitza
           Type:  enhancement        |       Status:  needs_review
       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:
  King, Mathieu Guay-Paquet, Aladin  |       Commit:
  Virmaux                            |  823fff5635870f31cb6308b3ecb371b6899b5101
Report Upstream:  N/A                |     Stopgaps:
         Branch:                     |
  u/SimonKing/ticket/12630           |
   Dependencies:  #12412, #12413,    |
  #14806, #15491, #15623, #15810     |
-------------------------------------+-------------------------------------

Comment (by nthiery):

 Replying to [comment:199 SimonKing]:
 > I think the problem with conversion of the path semigroup of the empty
 quiver into the path algebra of a non-empty quiver is this: The coercion
 framework tries to do a consistency check, for which it needs an element
 of the domain. But for the empty quiver, `an_element()` rightfully fails
 with an empty set error.
 >
 > Do you really think we should fix this corner case?

 In a perfect world, the coercion framework would honor EmptySetError ...
 Might be easy to fix. Otherwise, yes I guess ignoring the corner case is
 alright for now.

 (In general I dislike the coercion framework using of element creation and
 duck typing as it does now; but that's a separate story).

--
Ticket URL: <http://trac.sagemath.org/ticket/12630#comment:203>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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