A Family of Complex Kleinian Split Solvable Groups

2021/11/25 by Barrera, Waldemar, Rene Garcia, Garcia, Rene +2
Chemistry · Computer Science · Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Molecular spectroscopy and chirality #Topological and Geometric Data Analysis #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2111.13211

openalex publication_date 2021/11/25 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

It is shown that lattices of a family of split solvable subgroups of PSL(N + 1, C) are complex Kleinian using techniques of Lie groups and dynamical systems, also that there exists a minimal limit set for the action of these lattices on the N dimensional complex projective space and that there are exactly two maximal discontinuity regions.

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