On Tuesday, 11 November 2014 01:08:08 UTC+11, Nicolas M. Thiery wrote:
>
>
> Another approach is to have a single parent, with elements having 
> potentially several internal representations, and coercions being 
> handled internally as well. That's what Éric is using in 
> Sage-Manifolds: 
>
>         http://sagemanifolds.obspm.fr/ 
>
> > put all of this code in a new directory 
> sage.algebras.iwahoriheckeagebras/ 
>
> Hi Nicolas,
>

Can you give me some more precise pointers as to where to look inside 
sage-manifolds -- it's quite a large chunk of code.

One of the things that I don't like about (my understanding of) the 
CombinatorialFreeModule approach to modules is that it is very hard for the 
(uneducated/unenlightened/unwashed) user to construct their own bases for 
modules: To construct a new basis you have to explicitly define it using 
realisations hidden deep inside the code, together with the appropriate 
coercion maps and I think that the average user won't be able to do this. 
It would be nice if this provided a mechanism for doing this.

Andrew

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