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P: 83
 Quote by George Jones Are you working with real or complex Lie algebras?
Apologies George - I should have said, the Lie Algebras are complex. Any hints (however vague) would be much appreciated. :)
 Quote by matt grime Have you considered that there might be more than one basis you can think of?
Hmmm, ok - so at the moment I'm considering a basis of $$\mathfrak{so}(4)$$ of the form:

$$\left{\left(\begin{array}{cccc}0&1&0&0\\-1&0&0&0\\0&0&0&0\\0&0&0&0\end{array}\right), \left(\begin{array}{cccc}0&0&1&0\\0&0&0&0\\-1&0&0&0\\0&0&0&0\end{array}\right), \quad \textrm{etc.}\right}$$

But perhaps if I think about suitable combinations of these, I'll get something more like the form I'm looking for?

The help is much appreciated guys. :)