#15560: Add methods to rigged configurations
-------------------------------------+-------------------------------------
Reporter: tscrim | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.3
Component: combinatorics | Resolution:
Keywords: rigged | Merged in:
configurations | Reviewers: Anne Schilling
Authors: Travis Scrimshaw | Work issues:
Report Upstream: N/A | Commit:
Branch: | e103d1ee41d9f2809fa74f71dfe35ddacbe2f313
public/combinat/rigged_configurations/methods-15560| Stopgaps:
Dependencies: #13872 #15882 |
-------------------------------------+-------------------------------------
Comment (by aschilling):
Hi Travis,
Here are some more comments:
* The documentation of right_split has a ` missing. Please run the
documentation to see that it actually compiles!
* Please add the map `\theta` to rigged configuration and compare to
lusztig_involution.
* Please add tests and more explanations what `build_graph` does. Explain
which graph it is computing. Also the following fails:
{{{
sage: RC = RiggedConfigurations(['D', 4, 1], [[2, 1]])
sage: from sage.combinat.rigged_configurations.bij_type_D import
RCToKRTBijectionTypeD
sage: RCToKRTBijectionTypeD(RC(partition_list=[[1],[1],[1],[1]])).run()
[[2], [-3]]
sage:
RCToKRTBijectionTypeD(RC(partition_list=[[1],[1],[1],[1]])).run(build_graph=True)
---------------------------------------------------------------------------
ValueError Traceback (most recent call
last)
<ipython-input-10-1c82ae944c4d> in <module>()
----> 1
RCToKRTBijectionTypeD(RC(partition_list=[[Integer(1)],[Integer(1)],[Integer(1)],[Integer(1)]])).run(build_graph=True)
/Applications/sage/local/lib/python2.7/site-
packages/sage/combinat/rigged_configurations/bij_type_D.pyc in run(self,
verbose, build_graph)
513
514 if build_graph:
--> 515 y = self.rigged_con.parent()(*[x._clone()
for x in self.cur_partitions])
516 self._graph.append([self._graph[-1][1],
(y, len(self._graph)), letters(b)])
517
/Applications/sage/local/lib/python2.7/site-
packages/sage/structure/parent.so in sage.structure.parent.Parent.__call__
(sage/structure/parent.c:8924)()
/Applications/sage/local/lib/python2.7/site-
packages/sage/structure/coerce_maps.so in
sage.structure.coerce_maps.DefaultConvertMap_unique._call_with_args
(sage/structure/coerce_maps.c:4637)()
/Applications/sage/local/lib/python2.7/site-
packages/sage/structure/coerce_maps.so in
sage.structure.coerce_maps.DefaultConvertMap_unique._call_with_args
(sage/structure/coerce_maps.c:4501)()
/Applications/sage/local/lib/python2.7/site-
packages/sage/combinat/rigged_configurations/rigged_configurations.pyc in
_element_constructor_(self, *lst, **options)
717 lst = lst[0]
718
--> 719 return self.element_class(self, list(lst), **options)
720
721 def _calc_vacancy_number(self, partitions, a, i, **options):
/Applications/sage/local/lib/python2.7/site-
packages/sage/combinat/rigged_configurations/rigged_configuration_element.pyc
in __init__(self, parent, rigged_partitions, **options)
289 nu[-1] = RiggedPartitionTypeB(nu[-1])
290
--> 291 ClonableArray.__init__(self, parent, nu)
292
293 def _repr_(self):
/Applications/sage/local/lib/python2.7/site-
packages/sage/structure/list_clone.so in
sage.structure.list_clone.ClonableArray.__init__
(sage/structure/list_clone.c:3758)()
/Applications/sage/local/lib/python2.7/site-
packages/sage/structure/list_clone.so in
sage.structure.list_clone.ClonableArray.check
(sage/structure/list_clone.c:5758)()
/Applications/sage/local/lib/python2.7/site-
packages/sage/combinat/rigged_configurations/rigged_configuration_element.pyc
in check(self)
492 for i, vac_num in
enumerate(partition.vacancy_numbers):
493 if vac_num < partition.rigging[i]:
--> 494 raise ValueError("rigging can be at most the
vacancy number")
495
496 def to_tensor_product_of_kirillov_reshetikhin_tableaux(self,
display_steps=False, build_graph=False):
ValueError: rigging can be at most the vacancy number
}}}
Anne
--
Ticket URL: <http://trac.sagemath.org/ticket/15560#comment:22>
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