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.

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...

Kiran


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