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Adjoint representations and Lie Algebras 
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#1
Mar1311, 09:02 AM

P: 13

I have a very superficial understanding of this subject so apologies in advance for what's probably a stupid question.
Can someone please explain to me why if we have a Lie Group, G with elements g, the adjoint representation of something, eg [tex]g^{1} A_\mu g[/tex] takes values in the Lie Algebra of G? Ie. Why does it necessarily mean that [tex][A_\mu,A_\nu]=if_{ijk}A_\sigma[/tex] where f is the structure constant Thanks. 


#2
Mar1611, 10:01 AM

P: 13

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