On 1/14/08, [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.)
I think Sage doesn't include any nontrivial Lie functionality. Probably
the best way to get it is to write an interface to Lie:
http://www-math.univ-poitiers.fr/~maavl/LiE/
> 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.
>
> 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...
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