#20564: KleshchevPartitions
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Reporter: andrew.mathas | Owner: andrew.mathas
Type: enhancement | Status: new
Priority: major | Milestone: sage-7.2
Component: combinatorics | Resolution:
Keywords: Kleshchev | Merged in:
partition tuples | Reviewers:
Authors: Andrew Mathas | Work issues:
Report Upstream: N/A | Commit:
Branch: | aaab31ba947a6de0ae5048cd4acaec7b9e3459be
u/andrew.mathas/kleshchevpartitions| Stopgaps:
Dependencies: |
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Description changed by andrew.mathas:
Old description:
> Implement subclasses of `PartitionTuples` for Kleshchev partition tuples.
> These partition tuples index the simple modules for the cyclotomic Hecke
> algebras of type A and the crystal basis of corresponding integrable
> highest weight modules for the affine special linear groups.
>
> There is significant overlap between this patch and
> http://trac.sagemath.org/ticket/20469, which implements the corresponding
> crystals.
>
> These patches should be merged.
New description:
Implement subclasses of `PartitionTuples` for Kleshchev partition tuples.
These partition tuples index the simple modules for the cyclotomic Hecke
algebras of type A and the crystal basis of corresponding integrable
highest weight modules for the affine special linear groups.
{{{#!python
sage: KleshchevPartitions(5,[3,2,1],size=3)[:]
[([], [], [2, 1]),
([1], [], [1, 1]),
([], [], [1, 1, 1]),
([], [1], [2]),
([], [], [3]),
([1], [], [2]),
([2], [], [1]),
([], [1], [1, 1]),
([], [1, 1], [1]),
([], [2], [1]),
([1], [2], []),
([], [3], []),
([1], [1], [1]),
([1, 1], [1], []),
([2], [1], []),
([3], [], [])]
}}}
There is significant overlap between this patch and
http://trac.sagemath.org/ticket/20469, which implements the corresponding
crystals.
These patches should be merged.
--
--
Ticket URL: <http://trac.sagemath.org/ticket/20564#comment:3>
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