Möbius Transformations in the Second Symmetric Product of ℂ
Year: 2025
Type: article
Abstract: In this paper, we defined as an extension, the Möbius transformations in the space F2(ℂ), the second symmetric product of the complex plane ℂ with its natural topology induced by the Hausdorff metric. That is, consider T a Möbius transformation of ℂ and define the map T({z, w}) = {T(z), T(w)} in F2(ℂ). We prove general properties for these maps in F2(ℂ), with focus in the structure of the generators, the properties of transitivity, and the geometry of the conjugacy classes.
Source: Mathematics
DOI: 10.3390/math13050780
Institution: Universidad Autónoma del Estado de Morelos
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
OpenAlex ID: W4408025772