I'm forwarding to the sage-combinat group, where the people who know
this code well have a better chance of seeing it.

On 05/12/2011 06:19 PM, Matthias wrote:
> Hi,
> 
> i don't really know whether this is a bug, but at least it seems a bit
> odd to me (are alphacheck supposed to have different meanings in the
> spaces?):
> 
> R = RootSystem(['A',3])
> wgtsp = R.weight_space()
> rootsp = R.root_space()
> 
> a = wgtsp.simple_roots()[1]
> b = rootsp.simple_roots()[1]
> 
> a.associated_coroot()
>>> 4/5*alphacheck[1] - 2/5*alphacheck[2]
> b.associated_coroot()
>>> alphacheck[1]
> 
> In general is there a way to specify a basis of a ?free module?
> (whatever is behind the spaces) and make sage express everything in
> this basis?
> 
> Best regards
> Matthias
> 

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