#8649: to_tableau method broken for crystals of type B
------------------------------+---------------------------------------------
   Reporter:  aschilling      |       Owner:  sage-combinat  
       Type:  defect          |      Status:  positive_review
   Priority:  major           |   Milestone:  sage-4.4       
  Component:  combinatorics   |    Keywords:  crystals       
     Author:  Anne Schilling  |    Upstream:  N/A            
   Reviewer:  Dan Bump        |      Merged:                 
Work_issues:                  |  
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Comment(by nthiery):

 Replying to [comment:8 bump]:
 > The tableaux method does work with Sage for G2. This *may* be an
 accident
 > in that this would not be a good approach for other exceptional groups.
 Or
 > maybe not. Anyway we have a crystal of letters for G2 and it has a 0.
 And after the
 > patch, crystals of tableaux for G2 produce correct tableaux output.
 >
 > I tend to think this is *not* an accident and take it as evidence that 0
 is
 > really special. I guess the case where things might break in a worse way
 is F4.

 That's an interesting point!

 > > If we are sure that no crystal of letter (or more generally crystal
 that we want to use as letter in a tableau) will ever have a letter called
 0, except for type B, or if we are willing to take the risk, then I guess
 we can be lazy, and just leave things as they are.
 >
 > I think the positive review should stand. It's not just a matter of
 laziness, unless
 > we have an alternative approach.

 I still think it is laziness until we have a proof that 0 is special in
 all types. But I agree that the positive review should stand.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8649#comment:9>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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