Decomposition of complex hyperbolic isometries by involutions

DOI10.1016/j.laa.2016.03.011zbMath1337.51007arXiv1503.05660OpenAlexW2963914024MaRDI QIDQ272344

Krishnendu Gongopadhyay, Cigole Thomas

Publication date: 20 April 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.05660

zbMATH Keywords

unitary groupinvolutionscomplex hyperbolic spacecomplex reflection

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Orthogonal and unitary groups in metric geometry (51F25)

Related Items (1)

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

Cites Work

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• Conjugacy classes in Möbius groups
• Space form isometries as commutators and products of involutions
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• Conjugacy of real diffeomorphisms. A survey
• A Poincaré's polyhedron theorem for complex hyperbolic geometry
• Products of reflections in 𝑈(𝑝,𝑞)
• Bireflectionality in Classical Groups
• Products of Reflections in the Unitary Group
• TRACES IN COMPLEX HYPERBOLIC GEOMETRY

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