Hi Anne,
On Wed, Jan 12, 2011 at 12:06:40AM -0800, Anne Schilling wrote:
> (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]]])
I guess CrystalOfTableaux(['B',3], shape = [3/2,1/2,1/2]) could return
an object of a new class looking like:
class CrystalOfTableauxWithSpin(TensorProductOfCrystals):
def _repr_(self):
...
class Element(TensorProductOfCrystals.Element):
def _repr_(self):
...
def latex(self):
...
(I don't have the specifics of the TensorProductOfCrystals classes on
top of my head, so there probably is some little adaptation to do).
> What would be the best way to display columns of 1/2 width and mark them
> as spin?
Could you choose a typical element, and try to draw here what could be
a good ascii art picture of it? And possibly provide some links to
articles online with some nice latex pictures of such?
Cheers,
Nicolas
--
Nicolas M. Thiéry "Isil" <nthi...@users.sf.net>
http://Nicolas.Thiery.name/
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