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

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