Article detail · 2013
On the Homomorphisms of the Lie Groups and SU 2 and S 3
YÖKSİS
OpenAlex
Open access · gold
SJR Q3
JCR Q1
Citations 5
Percentile 74.4%
FWCI 1.16
- Year
- 2013
- ISSN
1085-3375- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
English (OpenAlex)
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 .
Topics
- Advanced Topics in Algebra
- Advanced Algebra and Geometry
- Homotopy and Cohomology in Algebraic Topology
Primary topic Advanced Topics in Algebra