Notes for AKT-091006/0:11:24
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Choose basis [math]\displaystyle{ (X_a) }[/math], [math]\displaystyle{ a \in \{1, 2, \cdots, \dim(\mathcal{G}) \} }[/math] for [math]\displaystyle{ \mathcal{G} }[/math] and basis [math]\displaystyle{ (e_a) }[/math], [math]\displaystyle{ a \in \{1, 2, \cdots, \dim(R) \} }[/math] for [math]\displaystyle{ R }[/math]
express all Lie-algebra operations in terms of the basis.
