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

Theorem:

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