I am somewhat confused with the connection between the two groups.(adsbygoogle = window.adsbygoogle || []).push({});

In the text I'm reading (An Introduction to Tensors and Group theory for physicists N. Jeevanjee), there is a chapter quite early on (in the group theory part) which outlines a homomorphism from SU(2) to SO(3), however I find this homomorphism very odd.

Why is it that we start with SU(2) on traceless anti-Hermitian matrices? There seems to be some connection here with the Lie Algebra of SU(2) however I can't put my finger on it.

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# Connection between SU(2) and SO(3)

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