Extending the Action of Schottky Groups on the Complex Anti-de Sitter Space to the Projective Space

DOI10.1007/978-3-319-39339-1_1zbMath1434.30009OpenAlexW2588704077MaRDI QIDQ4973326

Mayra Méndez, Angel Cano, Vanessa Alderete, Carlos Cabrera

Publication date: 3 December 2019

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-39339-1_1

zbMATH Keywords

complex hyperbolic spacesSchottky groups in higher dimensions

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (1)

Discrete subgroups of \(\mathrm{PSL}(n+1,\mathbb{C})\) acting on the Grassmannians

Cites Work

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• Lectures on Gaussian integral operators and classical groups
• Schottky groups can not act on \(P_C^{2n}\) as subgroups of \(PSL_{2n+1}(C)\)
• On the equicontinuity region of discrete subgroups of \(PU(1,n)\)
• On the limit set of discrete subgroups of \(\text{PU}(2,1)\)
• Groups with domains of discontinuity
• Higher dimensional complex Kleinian groups
• Projective cyclic groups in higher dimensions
• Lorentzian Kleinian groups
• Complex Kleinian groups
• Lie groups beyond an introduction

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