Notes for AKT-091008-2/0:15:17

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Weight systems without a representation:

Tensor algebra (of lie algebra [math]\displaystyle{ \mathcal{G} }[/math]): [math]\displaystyle{ T(\mathcal{G})=\{ }[/math] words with letters in [math]\displaystyle{ \mathcal{G} \}/ }[/math]linearity in the letters

Universal enveloping algebra (of [math]\displaystyle{ \mathcal{G} }[/math]): [math]\displaystyle{ U(\mathcal{G})=T(\mathcal{G})/\lt [x,y]=xy-yx\gt }[/math]