On Wed, Jun 19, 2013 at 3:53 PM, Mary Clark <mary.spritel...@gmail.com> wrote:
>
>> Just a question on terminology:
>> Are you talking about general commutation relations or just those for the
>> standard lie algebra generators?
>
>
> Sorry, but could you clarify what you mean?  For instance, what I'm saying
> is that su(2), for example, has a basis consisting of 3 elements, say u1, u2
> and u3, and we know that [u1,u2] = 2(u3).  But, for su(n) which has a basis
> of n^2 - n elements, I can't find an algorithm or anything saying that [u_i,
> u_j ] = f u_k for some constant f.


I think I see what you mean now.
They definitely exist. I have my books on this stuff at work but
googling I found this:
http://phyweb.lbl.gov/~rncahn/www/liealgebras/texall.pdf
Are the relations you want on page 48?



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