> On Sat, Mar 24, 2012 at 08:52:04PM -0400, msh...@math.vt.edu wrote:
>> Now you should get
>>
>> sage: W=WeylGroup(['A',2])
>> sage: w=W.from_reduced_word([1,2,1])
>> sage: w.inversions()
>> [alpha[1], alpha[1] + alpha[2], alpha[2]]
> 
> Sorry for the slow answer. Here W is a Weyl group implemented as a
> group of matrices acting on some root lattice realization L. In that
> case, I have the feeling that it would be more natural if a method of
> W (or of it's elements) returning some roots would return then as
> elements of L.
> 
> Other feelings anyone?

To me it feels more natural to have the output on the basis of simple roots,
rather than the ambient space. Is there now a simple way to convert
a vector in the ambient space to the root basis?

Best,

Anne

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