I'm centering on lie group homomorphisms that are also covering maps from the universal covering group. So that if their kernel was just the identity(adsbygoogle = window.adsbygoogle || []).push({});

they would be isomorphisms.

Are there situations in wich the kernel of such a homomorphism would reduce to the identity? I'm thinking of situations where the groups act on different sp

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# Kernel of homomorphisms

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