Sorry if I should post this to sage-support ...

Does CartanType currently support A_\infty? I checked the docs and it seems 
not but I wanted to check because I need this. Well, actually, I only need 
some very rudimentary combinatorial data from the Cartan type, that I can 
easily manufacture myself, but thematically I really should index the 
objects that I am playing with by the appropriate Cartan types as I am 
hoping that what I am doing will work in types A^{(1)}_l, A^{(2)}_{2l}, 
C^{(1)}_l, D^{(2)}_l and A_\infty.

Whilst looking for this I came across the following, which I guess are 
syntax errors on my part rather than bugs:

sage: CartanType(['A',4,1])  # works
['A', 4, 1]
sage: CartanType(['A',infinity])
  File "<string>", line unknown

    ^
SyntaxError: unexpected EOF while parsing

sage: CartanType(['A',-1])
  File "<string>", line unknown

    ^
SyntaxError: unexpected EOF while parsing

sage: CartanType(['A',0])
['A', 0]



Andrew

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