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