#8649: to_tableau method broken for crystals of type B
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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 aschilling):
Replying to [comment:8 bump]:
> > Right now the tableaux method for crystals is only supposed to work
for type ABCD.
>
> 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.
Hi Dan,
Thank you for this comment! Yes, for G_2 0 is again the only letter that
sits
in a string of length 2. I suppose the letter 0 is chosen in crystal of
letters since the weight is zero (and hence the element sits in the middle
of a string).
Perhaps Nicolas accepts this as "proof" that 0 is special?
Anne
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8649#comment:10>
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