On Jan 14, 2008 9:31 AM, [EMAIL PROTECTED] <[EMAIL PROTECTED]> wrote:
>
> Does SAGE currently include any functionality for manipulating Lie
> algebras? (I only need reductive Lie algebras, because I'm using them
> to study compact Lie groups.) For instance, I'd like to be able to
> manipulate irreducibles (encoded by their highest weights), so that I
> can form a tensor product and decompose it into irreducibles.

GAP has this:
http://www.gap-system.org/Manuals/doc/htm/ref/CHAP061.htm
AFAIK, nothing is wrapped.


>
> In specific instances (like GL_n) I know in principle to translate
> such questions into terms compatible with the combinatorics
> functionality we have from Symmetrica. But I want to experiment with
> other cases (like Sp_n) and I'd rather simply work at the Lie algebra
> level, without having to keep track of the combinatorics myself.
>
> In any case, I'm likely to be bugging people about this at SAGE Days
> 7...


It might be worth emailing Willem de Graaf about it too:
http://www.science.unitn.it/~degraaf/


>
> Kiran
>
>
> >
>

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