Notes for AKT-091001-2/0:28:08

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A metric of a Lie-algebra is a nondegenerate symmetric bilinear form [math]\displaystyle{ \lt \cdot, \cdot \gt : \mathcal{G} \otimes \mathcal{G} \rightarrow \mathbb{Q} }[/math] s.t. [math]\displaystyle{ \lt [z,x], y\gt + \lt x, [z,y]\gt = 0 }[/math]