Generators of a Picard modular group in two complex dimensions

DOI10.1090/S0002-9939-2010-10653-6zbMath1222.32038arXiv0911.1104MaRDI QIDQ5200170

Elisha Falbel, Gábor Francsics, Peter D. Lax, John R. Parker

Publication date: 1 August 2011

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

Full work available at URL: https://arxiv.org/abs/0911.1104

zbMATH Keywords

complex hyperbolic spacePicard modular groups

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Discrete subgroups of Lie groups (22E40) Complex Lie groups, group actions on complex spaces (32M05)

Related Items (10)

Generators for the Euclidean Picard modular groups ⋮ Lagrange's theorem for continued fractions on the Heisenberg group ⋮ Generators of the sister of Euclidean Picard modular groups ⋮ Continued fractions on the Heisenberg group ⋮ A note on trace fields of complex hyperbolic groups ⋮ A presentation for the Eisenstein-Picard modular group in three complex dimensions ⋮ The geometry of the Gauss-Picard modular group ⋮ GENERATORS OF THE EISENSTEIN–PICARD MODULAR GROUP ⋮ A set of generators for the Picard modular group \({SU}(2,1,\mathcal{O}_2)\) ⋮ GENERATORS OF THE EISENSTEIN–PICARD MODULAR GROUP IN THREE COMPLEX DIMENSIONS

Cites Work

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• The geometry of the Eisenstein-Picard modular group
• Fundamental domains for lattices in (R-)rank 1 semisimple Lie groups
• Invariants of Arithmetic Ball Quotient Surfaces
• Analysis of a Picard modular group

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