Non-discrete hybrids in \(\mathrm{SU}(2,1)\)

DOI10.1007/s10711-011-9609-9zbMath1271.22008OpenAlexW2161035845MaRDI QIDQ2429486

Julien Paupert

Publication date: 27 April 2012

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-011-9609-9

zbMATH Keywords

Fuchsian triangle groupscomplex hyperbolic geometrynon-arithmetic latticeshybridation of lattices

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Discrete subgroups of Lie groups (22E40) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

Related Items (4)

Complex hyperbolic orbifolds and hybrid lattices ⋮ Rigidity, lattices, and invariant measures beyond homogeneous dynamics ⋮ Non-arithmetic hybrid lattices in \(\text{PU}(2,1)\) ⋮ Hybrid lattices and thin subgroups of Picard modular groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unfaithful complex hyperbolic triangle groups. I: Involutions.
• Unfaithful complex hyperbolic triangle groups. III: Arithmeticity and commensurability.
• Unfaithful complex hyperbolic triangle groups. II: Higher order reflections.
• Non-arithmetic groups in Lobachevsky spaces
• On a remarkable class of polyhedra in complex hyperbolic space
• Arithmetic triangle groups
• Jørgensen's inequality for complex hyperbolic space.
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Generalized Picard lattices arising from half-integral conditions
• Discreteness of subgroups of \(\text{PU}(2,1)\) with regular elliptic elements.
• Doubly generated Fuchsian groups
• On Discrete Groups of Mobius Transformations
• Census of the Complex Hyperbolic Sporadic Triangle Groups

This page was built for publication: Non-discrete hybrids in \(\mathrm{SU}(2,1)\)