we know there is a two to one homomorphism from SU(2) to SO(3)(adsbygoogle = window.adsbygoogle || []).push({});

suppose u is an element in SU(2)

then u and -u map into the same element in SO(3)

the question is, maybe SO(3) is a quotient group of SU(2)? with respect to the subgroup {I,-I}?

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# SO(3) as a quotient group of SU(2)?

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