Quaternionic hyperbolic Kleinian groups with commutative trace skew-fields

DOI10.1007/S10455-020-09708-7zbMath1440.22022arXiv1810.03293OpenAlexW3011389472MaRDI QIDQ2309528

Joonhyung Kim, Sungwoon Kim

Publication date: 1 April 2020

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.03293

zbMATH Keywords

trace fieldquaternionic hyperbolic Kleinian grouptrace skew-field

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Discontinuous groups of transformations (57S30) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Cites Work

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• A characterization of complex hyperbolic Kleinian groups in dimension 3 with trace fields contained in \(\mathbb{R}\)
• Complex and quaternionic hyperbolic Kleinian groups with real trace fields
• A characterization of Fuchsian groups acting on complex hyperbolic spaces
• Geometry of quaternionic hyperbolic manifolds
• Lie groups beyond an introduction

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