#18769: Implement affinization crystal and allow KyotoPathModel to use extended
weight lattice
-------------------------------------+-------------------------------------
       Reporter:  tscrim             |        Owner:  sage-combinat
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.8
      Component:  combinatorics      |   Resolution:
       Keywords:  crystals           |    Merged in:
        Authors:  Travis Scrimshaw   |    Reviewers:  Ben Salisbury
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  public/crystals/kyoto_path_model_weight-18769|  
116d35b7303f9a5b0fc3e94b054120347d09594b
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by aschilling):

 Replying to [comment:11 bsalisbury1]:
 > Hmmm... I just ran the test again (with the latest develop branch) and
 I'm still getting `-delta + Lambda[0]` instead of `Lambda[0] - delta`.
 Ideas?

 I get the same as Ben
 {{{
 sage -t kyoto_path_model.py
 **********************************************************************
 File "kyoto_path_model.py", line 199, in
 sage.combinat.crystals.kyoto_path_model.KyotoPathModel
 Failed example:
     x.weight()
 Expected:
     Lambda[0] - delta
 Got:
     -delta + Lambda[0]
 **********************************************************************
 File "kyoto_path_model.py", line 450, in
 sage.combinat.crystals.kyoto_path_model.KyotoPathModel.Element.weight
 Failed example:
     mg.f_string([0,1,2]).weight()
 Expected:
     Lambda[0] - delta
 Got:
     -delta + Lambda[0]
 **********************************************************************
 2 items had failures:
    1 of  34 in sage.combinat.crystals.kyoto_path_model.KyotoPathModel
    1 of   7 in
 sage.combinat.crystals.kyoto_path_model.KyotoPathModel.Element.weight
     [106 tests, 2 failures, 0.39 s]
 ----------------------------------------------------------------------
 sage -t kyoto_path_model.py  # 2 doctests failed
 ----------------------------------------------------------------------
 Total time for all tests: 0.4 seconds
     cpu time: 0.4 seconds
     cumulative wall time: 0.4 seconds
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/18769#comment:12>
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