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2013 On the Homomorphisms of the Lie Groups S U ( 2 ) and S 3
Fatma Özdemir, Hasan Özekes
Abstr. Appl. Anal. 2013(SI06): 1-5 (2013). DOI: 10.1155/2013/645848


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 𝕊 1 .


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Fatma Özdemir. Hasan Özekes. "On the Homomorphisms of the Lie Groups S U ( 2 ) and S 3 ." Abstr. Appl. Anal. 2013 (SI06) 1 - 5, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1275.53046
MathSciNet: MR3055861
Digital Object Identifier: 10.1155/2013/645848

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI06 • 2013
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