The method of topology is very clear.Then there's a question asking to use adjoint representation of lie group $SU(2)$ $(\operatorname{adj}:SU(2)\to GL(su(2)))$to prove this. I can't solve this .
2026-05-16 04:20:32.1778905232
$SU(2)$ is a covering space of $SO(3)$.
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