Are SU(2) and SO(3) Groups Really Isomorphic?

ber70
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I have not seen why SU(2) and SO(3) groups are isomorphic?
 
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They aren't isomorphic. SU(2) is a double cover of SO(3).
 
Their Lie algebras are isomorphic, and they are locally isomorphic...but D H is right - they aren't isomorphic!
 

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