Complex and quaternionic hyperbolic Kleinian groups with real trace fields

DOI10.1112/jlms/jdv063zbMath1335.22012arXiv1412.7918OpenAlexW2964076721MaRDI QIDQ2793761

Joonhyung Kim, Sungwoon Kim

Publication date: 17 March 2016

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.7918

zbMATH Keywords

semisimple Lie groupsquaternionslatticesKleinian groupstrace fields

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Discontinuous groups of transformations (57S30) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (3)

CONJUGACY INVARIANTS OF QUATERNION MATRICES ⋮ A characterization of quaternionic Kleinian groups in dimension 2 with complex trace fields ⋮ Quaternionic hyperbolic Kleinian groups with commutative trace skew-fields

Cites Work

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• A characterization of Fuchsian groups acting on complex hyperbolic spaces
• A characterization of Fuchsian groups in SU (n, 1)
• Hyperbolic manifolds and discrete groups

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