On 1/23/11 8:37 AM, Nicolas M. Thiery wrote:
On Thu, Jan 13, 2011 at 02:20:27AM -0800, Anne Schilling wrote:
    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?

Perhaps

+--+----+----+----+
| 1|  2 |  3 |  0 |
+--+----+----+----+
| 2| -3 | -3 |
+--+----+----+
|-3| -2 |
+--+----+

where the first column is a spin column of width 1/2.

In latex this is example 8.4.2 in Hong and Kang "Introduction to Quantum groups
and crystal bases" page 196.

To save time to the next curious person: 
http://books.google.com/books?id=9T1vXWCbtLwC

Having this column with special width is sure possible, but will
require specific code for the pretty printing and latexing code.

The example above is a bit small. Can you confirm that the first
column is always filled with 1,2,3,4,5 with signs, right

Yes, for rank n, each letter 1,2,...,n either appears as is or
as a barred letter.

Would something like this be acceptable instead:

     +---+----+----+----+
     | + |  2 |  3 |  0 |
     +---+----+----+----+
     | + | -3 | -3 |
     +---+----+----+
     | - | -2 |
     +---+----+

Yes, indeed. When using the tensor product as I now implemented it,
this is basically what appear except with a tensor sign. Perhaps this suffices?

Cheers,

Anne

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