Lie subalgebras of $so(3)$ and complex Lie subalgebras of $sl(2,\mathbb{C})$.

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I am looking for a reference that: describes all Lie subalgebras of $so(3)$,and describes all complex Lie subalgebras of $sl(2,\mathbb{C})$.

Does someone have appropriate references?

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I don't know if it answers these specific questions explicitly, but you can find all you need in Helgason's book Differential Geometry, Lie Groups, and Symmetric Spaces.