- #1
pellman
- 684
- 5
Given a Lie algebra of elements Gi satisfying [Gi,Gj] = -ifijkGk, it can be shown that
trace(GiGj) = -fiklfjlk
where by "trace" we mean the trace in a particular matrix representation.
The text in which I encountered this does not have a proof and I'm having trouble convincing myself of it. Anyone have a reference or hint that could help?
trace(GiGj) = -fiklfjlk
where by "trace" we mean the trace in a particular matrix representation.
The text in which I encountered this does not have a proof and I'm having trouble convincing myself of it. Anyone have a reference or hint that could help?