#13872: Non-exceptional rigged configuration bijections
-------------------------------------+-------------------------------------
       Reporter:  tscrim             |        Owner:  tscrim
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.0
      Component:  combinatorics      |   Resolution:
       Keywords:  rigged             |    Merged in:
  configurations bijection           |    Reviewers:  Anne Schilling
  crystals, days54                   |  Work issues:
        Authors:  Travis Scrimshaw   |       Commit:
Report Upstream:  N/A                |  b9f49b8c48e268190675f3bc284b2dbcb7b3d076
         Branch:                     |     Stopgaps:
  public/combinat/rigged_configurations/bijections-13872|
   Dependencies:  #13838 #14519      |
  #14402 #14157 #13605               |
-------------------------------------+-------------------------------------

Comment (by aschilling):

 I looked at your latest changes. Why are the changes in
 crystals/tensor_product.py necessary? Also, the equality between the one-
 dimensional configuration sums and fermionic formula has been proven in
 many cases. So the statement that it is conjectural is not quite right.
 Please add references!

 Also, with the new code I get doc test failures
 {{{
 sage -t tensor_product.py
 **********************************************************************
 File "tensor_product.py", line 278, in
 
sage.combinat.crystals.tensor_product.CrystalOfWords.one_dimensional_configuration_sum
 Failed example:
     LS.one_dimensional_configuration_sum() ==
 T.one_dimensional_configuration_sum()
 Expected:
     True
 Got:
     False
 **********************************************************************
 1 item had failures:
    1 of  14 in
 
sage.combinat.crystals.tensor_product.CrystalOfWords.one_dimensional_configuration_sum
     [361 tests, 1 failure, 48.77 s]
 sage -t alcove_path.py
     [220 tests, 41.31 s]
 sage -t littelmann_path.py
 **********************************************************************
     True
 Got:
     False
 **********************************************************************
 File "littelmann_path.py", line 693, in
 
sage.combinat.crystals.littelmann_path.CrystalOfProjectedLevelZeroLSPaths.one_dimensional_configuration_sum
 Failed example:
     T.one_dimensional_configuration_sum() ==
 LS.one_dimensional_configuration_sum()
 Expected:
     True
 Got:
     False
 **********************************************************************
 File "littelmann_path.py", line 701, in
 
sage.combinat.crystals.littelmann_path.CrystalOfProjectedLevelZeroLSPaths.one_dimensional_configuration_sum
 Failed example:
     T.one_dimensional_configuration_sum() ==
 LS.one_dimensional_configuration_sum()
 Expected:
     True
 Got:
     False
 **********************************************************************
 }}}
 It would be good not to change the existing functionality in
 tensor_products.py!

 Anne

--
Ticket URL: <http://trac.sagemath.org/ticket/13872#comment:42>
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