there's a surjective homomorphism from(adsbygoogle = window.adsbygoogle || []).push({});

a : SU(2) --> SO(3)

The kernel of this homomorphism is the center of SU(2) which is Z/2Z. Now the fundamental group of SO(3) is Z/2Z. This is a general thing.

The simplest version of my question is how is the center of SU(2) related to the fundamental group SO(3).

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# Simple question about SU(2) and SO(3)

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