Here is an example of the use of AlgebraGivenByStructuralConstants

http://axiom-wiki.newsynthesis.org/SandBoxObserverAsIdempotent2

that might of use to you even though it does not specifically concern Lie
algebras.

I am sorry that the example does not contain much explanation but I am
willing to answer questions and will improve this when I get a chance.

Since I am interested in Frobenius algebra I would be especially interested
in FriCAS extensions relating to coalgebra and would be glad to participate
in any related project.  For example

http://axiom-wiki.newsynthesis.org/SandBoxSedenionAlgebraIsFrobeniusInJustOneWay

Bill Page.


On 20 April 2013 11:11, Serge D. Mechveliani <[email protected]> wrote:

> To my request
> Prof. Dr. Johannes Grabmeier wrote on  Apr 20, 2013:
>
> > AXIOM/FriCAS has a whole bunch of very general algebras
> > (not -necessarily associative) (implemented long ago by R. WIsbauer and
> > myself), in particular as Ralf Hemmecke mentioned  providing the most
> > general situation of arbitrary structure constants.
> > [..]
>
> > L. Lambe has implemented the FreeNilpotentLieAlgebra according to Hall
> > by constructing Hall bases.
> > [..]
>
> > Please check, whether this is useful for your colleague. I am interested
> > in hearing whether this fits or what exactly is required. Perhaps it is
> > not much efford to provide settings for these applications.
> >
>
> Thank you very much
> (I was sure that Axiom has almost everything).
> I am going
> 1) to consult about what precisely is needed
>    (and if agreed),
> 2) to recall the FriCAS usage, to find the needed packages in FriCAS,
> 3) to introduce this colleage to FriCAS,
> 4) and then to see whether it is needed anything else.
>
> Thanks again,
>
> ------
> Sergei
>
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