On the Homomorphisms of the Lie Groups and | Zendy

Fatma Özdemir | Zendy; Hasan Özekes | Zendy

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On the Homomorphisms of the Lie Groups and

Author(s) -

Fatma Özdemir,

Hasan Özekes

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/645848

Subject(s) - homomorphism , mathematics , quotient space (topology) , quotient , equivalence relation , topological space , group (periodic table) , pure mathematics , space (punctuation) , equivalence (formal languages) , topology (electrical circuits) , topological group , algebra over a field , combinatorics , computer science , chemistry , organic chemistry , operating system

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 whichis isomorphic to

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