Hi!
I am in the process of writing some more code and thematic
tutorial for crystals and ran into the following issue:
(1) For type B and D there exist tableaux with spin columns
of half width, but they are currently not yet implemented in sage.
In principle, one can construct them using the TensorProductOfCrystals,
but it might be nice to be able to do something like
sage: T = CrystalOfTableaux(['B',3], shape = [3/2,1/2,1/2])
Currently this would have to be done as
sage: S = CrystalOfSpins(['B',3])
sage: B = CrystalOfTableaux(['B',3], shape = [1])
sage: T = TensorProductOfCrystals(S,B, generators =
[[S.module_generators[0], B.module_generators[0]]])
What would be the best way to display columns of 1/2 width and mark them as
spin?
(2) There is a TODO in /combinat/crystals/spin.py regarding the proper
latexing of spin columns. This now becomes an issue!
sage: view(T, pdflatex=True, tightpage=True)
Best,
Anne
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