#13250: Additional poset examples
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Reporter: csar | Owner: sage-combinat
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.10
Component: combinatorics | Resolution:
Keywords: sd40 | Work issues:
Report Upstream: N/A | Reviewers:
Authors: | Merged in:
Dependencies: | Stopgaps:
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Description changed by csar:
Old description:
> Various combinatorial objects already have order relations available, but
> the posets themselves are not available. (An example of such a poset that
> is available is SymmetricGroupWeakOrderPoset.)
>
> Posets to add:
> * set partitions ordered by refinement
> * Young's lattice up to rank n
> * Principal order ideal in Young's lattice
> * dominance order on partitions
> * poset of cells in a Young diagram
> * absolute order on the symmetric group
New description:
Various combinatorial objects already have order relations available, but
the posets themselves are not available. (An example of such a poset that
is available is SymmetricGroupWeakOrderPoset.)
Posets to add:
* set partitions ordered by refinement (done)
* Young's lattice up to rank n (done)
* Principal order ideal in Young's lattice (done)
* dominance order on partitions (done)
* poset of cells in a Young diagram (done)
* absolute order on the symmetric group
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13250#comment:1>
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