Notes for AKT-091006/0:03:35
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Example: Let the Lie algebra be [math]\displaystyle{ gl_n(k) }[/math] (with [math]\displaystyle{ [ \cdot, \cdot] }[/math] being the commutator and [math]\displaystyle{ \left\langle A, B \right\rangle= tr(AB) }[/math])
Let the representation [math]\displaystyle{ R }[/math]: [math]\displaystyle{ \rho: \mathcal{G} \rightarrow End(R), \rho([A, B]) = \rho(A) \circ \rho(B) - \rho(B) \circ \rho(A) }[/math]
