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Nov14-05, 11:45 AM
P: 83
Quote 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 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 [tex]\mathfrak{so}(4)[/tex] of the form:

[tex]\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}[/tex]

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. :)