#15428: Partitions to posets
-------------------------------------------------+-------------------------
       Reporter:  darij                          |        Owner:
           Type:  enhancement                    |       Status:
       Priority:  major                          |  positive_review
      Component:  combinatorics                  |    Milestone:  sage-5.13
       Keywords:  sage-combinat, partition,      |   Resolution:
  poset                                          |    Merged in:
        Authors:  Darij Grinberg                 |    Reviewers:  Travis
Report Upstream:  N/A                            |  Scrimshaw
         Branch:                                 |  Work issues:
   Dependencies:  #15350                         |       Commit:
                                                 |     Stopgaps:
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Comment (by aschilling):

 Hi Darij,

 I think Nicolas' point is that it is more natural to define posets
 associated to tableaux than partitions. The partition poset that you
 implemented could then be easily obtained from that. You could use
 {{{
 sage: t = Tableau([[1,2,3],[4,5,6],[7]])
 sage: t.cells_containing(1)
 [(0, 0)]
 }}}
 to label the cells by their coordinates. In Sage we should have general
 purpose methods rather than very specific methods. If I understand
 correctly, this is his point!

 Anne

 PS: I do not understand your comment that all entries are pairwise
 distinct. Cells inside a tableau/partition are always all distinct.

--
Ticket URL: <http://trac.sagemath.org/ticket/15428#comment:9>
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