#13872: Non-exceptional rigged configuration bijections
-------------------------------------------------+-------------------------
       Reporter:  tscrim                         |        Owner:  tscrim
           Type:  enhancement                    |       Status:
       Priority:  major                          |  needs_review
      Component:  combinatorics                  |    Milestone:  sage-5.12
       Keywords:  rigged configurations          |   Resolution:
  bijection crystals                             |    Merged in:
        Authors:  Travis Scrimshaw               |    Reviewers:
Report Upstream:  N/A                            |  Work issues:
         Branch:                                 |       Commit:
   Dependencies:  #13838 #14519 #14402 #14157    |     Stopgaps:
  #13605                                         |
-------------------------------------------------+-------------------------

Comment (by aschilling):

 Hi Travis,

 Thanks for your changes we discussed via email. Next there are problems
 for D_4^{(2)}
 {{{
 sage: for t in KRT:
     rc = t.to_rigged_configuration()
     if not t==rc.to_tensor_product_of_Kirillov_Reshetikhin_tableaux():
         print t
 ....:
 [[[1], [0], [0]], [[1, 2], [2, -2]], [[1, E]]]
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)
 <ipython-input-8-925815db1a74> in <module>()
       1 for t in KRT:
       2     rc = t.to_rigged_configuration()
 ----> 3     if not
 t==rc.to_tensor_product_of_Kirillov_Reshetikhin_tableaux():
       4         print t
       5

 /Applications/sage-5.12.beta5/local/lib/python2.7/site-
 packages/sage/combinat/crystals/tensor_product.pyc in __eq__(self, other)
     146         return self.__class__ is other.__class__ and \
     147                self.parent() == other.parent() and \
 --> 148                self._list == other._list
     149
     150     def __ne__(self, other):

 /Applications/sage-5.12.beta5/local/lib/python2.7/site-
 packages/sage/combinat/crystals/tensor_product.pyc in __eq__(self, other)
     146         return self.__class__ is other.__class__ and \
     147                self.parent() == other.parent() and \
 --> 148                self._list == other._list
     149
     150     def __ne__(self, other):

 /Applications/sage-5.12.beta5/local/lib/python2.7/site-
 packages/sage/combinat/crystals/letters.so in
 sage.combinat.crystals.letters.Letter.__richcmp__
 (sage/combinat/crystals/letters.c:6559)()

 /Applications/sage-5.12.beta5/local/lib/python2.7/site-
 packages/sage/structure/element.so in
 sage.structure.element.Element._richcmp (sage/structure/element.c:8765)()

 /Applications/sage-5.12.beta5/local/lib/python2.7/site-
 packages/sage/combinat/crystals/letters.so in
 sage.combinat.crystals.letters.Letter._richcmp_c_impl
 (sage/combinat/crystals/letters.c:6617)()

 TypeError: Cannot convert sage.combinat.crystals.letters.EmptyLetter to
 sage.combinat.crystals.letters.Letter
 }}}

 Best,

 Anne

--
Ticket URL: <http://trac.sagemath.org/ticket/13872#comment:10>
Sage <http://www.sagemath.org>
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