CrossRef Open Access 2025

Cartan decomposition for $\mathrm {Sp}(1,n)$ and some applications to group dynamics

Angel Cano Hector Abrahan Castro Morales

Abstrak

Abstract In this article, we present an elementary proof of the Cartan decomposition theorem for the group $ \mathrm {Sp}(1, n) $ . As an application, we determine the largest regular domain for discrete quaternionic hyperbolic groups acting on $ \mathbb {HP}^n $ . Furthermore, we demonstrate that Bers’ simultaneous uniformization and Köebe’s retrosection theorem fail to hold for higher-dimensional quaternionic Kleinian groups.

Penulis (2)

Angel Cano

Hector Abrahan Castro Morales

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APA MLA BibTeX

Cano, A., Morales, H.A.C. (2025). Cartan decomposition for $\mathrm {Sp}(1,n)$ and some applications to group dynamics. https://doi.org/10.4153/s0008439525101380

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: CrossRef
DOI: 10.4153/s0008439525101380
Akses: Open Access ✓