Notes for AKT-091001-2/0:13:25

Theorem: 1) Given a metrized finite dimensional Lie-algrbra [math]\displaystyle{ \mathcal{G} }[/math] and a finite dimensional representation [math]\displaystyle{ R }[/math] of [math]\displaystyle{ \mathcal{G} }[/math], [math]\displaystyle{ \exists }[/math] (an interesting) linear function [math]\displaystyle{ W_{\mathcal{G},R}: \mathcal{A} \rightarrow \mathbb{Q} }[/math] (the ground field which [math]\displaystyle{ \mathcal{G} }[/math] is defined on)