#18632: Allow cyclic quivers in quiver representation
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       Reporter:  SimonKing          |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  major              |    Milestone:  sage-6.8
      Component:  algebra            |   Resolution:
       Keywords:  quiver             |    Merged in:
  representation, days65, days64.5   |    Reviewers:
        Authors:                     |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  8da1aa986f3c5807520a9ec82f763638b60cc925
  public/18632_cyclic_quiver_representations|     Stopgaps:
   Dependencies:  #17435             |
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Comment (by SimonKing):

 Seemingly the branch doesn't merge with the latest beta. Sigh. I am trying
 to merge and will then try to develop the branch further. My plan is:

 Implement `.cardinality()` for left/right closed families. Recall that the
 left/right closed families represent the vector space bases given by
 (dual) paths. Hence, the cardinality corresponds to the dimension of the
 vertex vector spaces.

 And then, there should be (or there already is) a method computing the
 action of a path on a path algebra element. This should use matrix
 multiplication or some more explicit computation with path concatenation,
 depending on whether or not the dimensions are finite.

--
Ticket URL: <http://trac.sagemath.org/ticket/18632#comment:10>
Sage <http://www.sagemath.org>
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