problems with the order of SU(3) generators

[Wenxing]

Hi Florian,

Sorry for bothering you again.
Recently I was rewriting a SU(3) model, and I need to know the order of SU(3) model to define the mixing of gauge boson, can you tell me the order of SU (N)?

Best wishes!
Wenxing

[FStaub]

Hi,

with

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Lambda

you see the Gell-Mann matrices:

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{{{0, 1, 0}, {1, 0, 0}, {0, 0, 0}}, 
 {{0, 0, 0}, {0, 0, 1}, {0, 1, 0}}, 
 {{0, 0, I}, {0, 0, 0}, {-I, 0, 0}}, 
 {{0, -I, 0}, {I, 0, 0}, {0, 0, 0}}, 
 {{0, 0, 0}, {0, 0, -I}, {0, I, 0}}, 
 {{0, 0, -1}, {0, 0, 0}, {-1, 0, 0}}, 
 {{2/Sqrt[3], 0, 0}, {0, -(1/Sqrt[3]), 0}, {0, 0, -(1/Sqrt[3])}}, 
 {{0, 0, 0}, {0, 1, 0}, {0, 0, -1}}}

[Wenxing]

Hi Florian,

Thanks for your reply very much!

Best wishes!
Wenxing