#16876: Fix cocharge on A2Dual rigged configurations and better support for
D_4^(3)
and relabelled types
-------------------------------------+-------------------------------------
Reporter: tscrim | Owner: sage-combinat
Type: defect | Status: needs_review
Priority: critical | Milestone: sage-6.4
Component: combinatorics | Resolution:
Keywords: | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
public/rigged_configurations/fixes-16876|
bdd64c38e2c6ec4565240d7796e00b6092f35185
Dependencies: | Stopgaps:
-------------------------------------+-------------------------------------
Description changed by tscrim:
Old description:
> Currently, cocharge is not calculated correctly for type
> A,,2n,,^(2)\dagger^. The cocharge should be half of the virtual.
> {{{
> sage: RC = RiggedConfigurations(CartanType(['A',4,2]).dual(),
> [[1,1],[2,2]])
> sage: for mg in RC.module_generators:
> ....: mg.cocharge()
> ....: mg.to_virtual_configuration().cocharge()
> ....: print ""
> 0
> 0
>
> 1/2
> 2
>
> 0
> 2
>
> 1/2
> 2
>
> 1/2
> 4
>
> 0
> 4
>
> 1
> 6
> }}}
> Also rigged configurations for type D,,4,,^(3)^ and other relabelled
> types aren't well supported, but is solved with better handling of the
> index set.
> {{{
> sage: RC = RiggedConfigurations(['D',4,3], [[1,1]])
> sage: RC.module_generators
> (
>
> (/)
>
> (/)
>
> )
> }}}
> There should be another generator.
New description:
Currently, cocharge is not calculated correctly for type
A,,2n,,^(2)\dagger^. The cocharge should be half of the virtual.
{{{
sage: RC = RiggedConfigurations(CartanType(['A',4,2]).dual(),
[[1,1],[2,2]])
sage: for mg in RC.module_generators:
....: mg.cocharge()
....: mg.to_virtual_configuration().cocharge()
....: print ""
0
0
1/2
2
0
2
1/2
2
1/2
4
0
4
1
6
}}}
Also rigged configurations for type D,,4,,^(3)^ and other relabelled types
aren't well supported, but is solved with better handling of the index
set.
{{{
sage: RC = RiggedConfigurations(['D',4,3], [[1,1]])
sage: RC.module_generators
(
(/)
(/)
)
}}}
There should be another generator.
This also makes `use_half_width_boxes_type_B` into a global option (as it
should've been done in #16324, but I forgot). It also makes the latex of a
rigged configuration respect the French convention.
--
--
Ticket URL: <http://trac.sagemath.org/ticket/16876#comment:3>
Sage <http://www.sagemath.org>
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