#15598: Tableaux: cell filling and tableau to poset
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       Reporter:  darij                           |        Owner:
           Type:  task                            |       Status:  new
       Priority:  minor                           |    Milestone:  sage-6.1
      Component:  combinatorics                   |   Resolution:
       Keywords:  tableaux, partitions            |    Merged in:
        Authors:                                  |    Reviewers:
Report Upstream:  N/A                             |  Work issues:
         Branch:                                  |       Commit:
   Dependencies:  #15428, new tableaux hierarchy  |     Stopgaps:
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Description changed by tscrim:

Old description:

> Two concerns Nicolas Thiery brought up in #15428 that I think should best
> be procras^H^H^H^H^H^H^Hdeferred until `tableau.py` is refactored:
>
> - To every partition corresponds a tableau where each cell `(i, j)` is
> filled with the *pair* `(i, j)`. This should be a method on partitions.
> Might do the same for compositions if we make a tableau class that allows
> the shape to be a composition.
>
> - The `cell_poset` method on partitions should also be implemented on
> tableaux.

New description:

 Two concerns Nicolas Thiery brought up in #15428 that I think should best
 be procras^H^H^H^H^H^H^H^deferred until `tableau.py` is refactored:

 - To every partition corresponds a tableau where each cell `(i, j)` is
 filled with the *pair* `(i, j)`. This should be a method on partitions.
 Might do the same for compositions if we make a tableau class that allows
 the shape to be a composition.

 - The `cell_poset` method on partitions should also be implemented on
 tableaux.

--

--
Ticket URL: <http://trac.sagemath.org/ticket/15598#comment:1>
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