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http://mathworld.wolfram.com/AdjointRepresentation.html
if you follow the link, they compute the matrices for ad (e1), ad (e2)...
I'm confused, how does one explicitly calculate those matrices. I need a systematic way to find them. I can see they satisfy the commutation relations, etc as required, but I don't know how to actually calculate the matrices.
if you follow the link, they compute the matrices for ad (e1), ad (e2)...
I'm confused, how does one explicitly calculate those matrices. I need a systematic way to find them. I can see they satisfy the commutation relations, etc as required, but I don't know how to actually calculate the matrices.