On the Homomorphisms of the Lie Groups SU(2) and S3

Fatma Özdemir and Hasan Özekes

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We first construct all the homomorphisms from the Heisenberg group to the 3‐sphere. Also, defining a topology on these homomorphisms, we regard the set of these homomorphisms as a topological space. Next, using the kernels of homomorphisms, we define an equivalence relation on this topological space. We finally show that the quotient space is a topological group which is isomorphic to 𝕊1.

Date: 2013
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https://doi.org/10.1155/2013/645848

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:645848

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