Why is $SO(3, \mathbb{C}) \cong PSL(2, \mathbb{C})$? I can't seem to be able to construct an explicit isomorphism between them.
Why is $SO(3, \mathbb{C}) \cong PSL(2, \mathbb{C})$?
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abstract-algebra
matrices
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0@Geoff : I think you mean $Lie(SL(2,C))$ instead of $SL(2,C)$. – 2012-04-04