On 2012-12-06, Nicolas M. Thiery <nicolas.thi...@u-psud.fr> wrote:
> On Thu, Dec 06, 2012 at 07:29:57AM +0000, Dima Pasechnik wrote:
>> I wonder if one can actually work in the endomorphism ring/algebra of a
>> CombinatorialFreeModule, and if yes, how.
>
> Not yet. I guess the closest approximation would be to take V \otimes V.
> But of course it is not endowed with composition, and it should really
> be V^* \otimes V (which makes a difference in non finite dimension).
>
>> Examples most appreciated. (Ideally, I would like to know how to
>> work with algebras specified by multiplication coefficients in this
>> framework)
>
> I am not sure what you mean. Can you be a bit more specific?
say, I have a permutation group acting on the basis elements of a
CombinatorialFreeModule, and I want to get hold of the endomorphisms
commuting with this action. Then it would be natural to represent 
the ring of such endomorphisms by the multiplication coefficients.
(i.e. construct a regular representation of this ring).

Best,
Dima


>
> Cheers,
>                               Nicolas
> --
> Nicolas M. ThiƩry "Isil" <nthi...@users.sf.net>
> http://Nicolas.Thiery.name/
>

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