- #1

- 675

- 4

*G*satisfying

_{i}*[G*, it can be shown that

_{i},G_{j}] = -if_{ij}^{k}G_{k}trace

*(G*

_{i}G_{j}) = -f_{ik}^{l}f_{jl}^{k}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?