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