The length of \(\operatorname{PU}(2, 1)\) relative to special elliptic isometries with fixed parameter

DOI10.1307/mmj/20206013arXiv2010.14677OpenAlexW4312899301MaRDI QIDQ6187395

Felipe A. Franco

Publication date: 15 January 2024

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.14677

zbMATH Keywords

complex hyperbolic planecomplex reflections

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Groups acting on specific manifolds (57S25)

Cites Work

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• Decomposition of complex hyperbolic isometries by involutions
• On products of isometries of hyperbolic space
• Elliptic triangle groups in \(PU(2,1)\), Lagrangian triples and momentum maps
• Unfaithful complex hyperbolic triangle groups. II: Higher order reflections.
• On a remarkable class of polyhedra in complex hyperbolic space
• Involution and commutator length for complex hyperbolic isometries
• Conjugacy classes in algebraic groups. Notes by Vinay V. Deodhar
• Space form isometries as commutators and products of involutions
• Complex Hyperbolic Structures on Disc Bundles over Surfaces
• A Poincaré's polyhedron theorem for complex hyperbolic geometry
• TRACES IN COMPLEX HYPERBOLIC GEOMETRY

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