Traces, Cross-Ratios and 2-Generator Subgroups of SU(2, 1)

DOI10.4153/CJM-2009-067-6zbMath1185.14038MaRDI QIDQ3651455

Pierre Will

Publication date: 10 December 2009

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

complex hyperbolic planeloxodromic isometries

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Geometric invariant theory (14L24) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Discrete subgroups of Lie groups (22E40) Actions of groups on commutative rings; invariant theory (13A50) General properties and structure of complex Lie groups (22E10) Differential geometry of symmetric spaces (53C35) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items (10)

A complex hyperbolic Riley slice ⋮ On Fenchel–Nielsen Coordinates of Surface Group Representations into SU(3,1) ⋮ Redundancy of Triangle Groups in Spherical CR Representations ⋮ Invariants of pairs in 𝑆𝐿(4,ℂ) and 𝕊𝕌(3,1) ⋮ Reversible complex hyperbolic isometries ⋮ Configurations of flags and representations of surface groups in complex hyperbolic geometry ⋮ Quaternionic hyperbolic Fenchel-Nielsen coordinates ⋮ Conjugation orbits of loxodromic pairs in \(\mathrm{SU}(n, 1)\) ⋮ A discreteness condition for subgroups of \(\mathbf{PU}(2, 1)\) ⋮ On conjugation orbits of semisimple pairs in rank one

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