Hi, this is a rather mathematical question. The inner product between generators of a Lie algebra is commonly defined as [itex] \mathrm{Tr}[T^a T^b]=k \delta^{ab} [/itex]. However, I don't understand why this trace is orthogonal, i.e. why the trace of a multiplication of two different generators is always zero.(adsbygoogle = window.adsbygoogle || []).push({});

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# Orthogonality of inner product of generators

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