Reversible complex hyperbolic isometries

DOI10.1016/j.laa.2012.11.029zbMath1277.51017OpenAlexW1965869709MaRDI QIDQ1938589

John R. Parker, Krishnendu Gongopadhyay

Publication date: 21 February 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.11.029

zbMATH Keywords

unitary groupcomplex hyperbolic isometryreversible elements

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Conjugacy classes for groups (20E45)

Related Items (10)

Decomposition of complex hyperbolic isometries by involutions ⋮ On Fenchel–Nielsen Coordinates of Surface Group Representations into SU(3,1) ⋮ Reversible quaternionic hyperbolic isometries ⋮ Reality of unipotent elements in classical Lie groups ⋮ On the classifications of unitary matrices ⋮ Classification of isometries of spaces of constant curvature and invariant subspaces ⋮ Conjugate real classes in general linear groups ⋮ Each symplectic matrix is a product of four symplectic involutions ⋮ A characterization of complex hyperbolic Kleinian groups in dimension 3 with trace fields contained in \(\mathbb{R}\) ⋮ Reversibility of Hermitian isometries

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bireflectionality of the weak orthogonal and the weak symplectic groups
• Cyclic decomposition of unitary spaces
• Reality properties of conjugacy classes in algebraic groups.
• On bireflectionality and trireflectionality of orthogonal groups
• On products of two involutions in the orthogonal group of a vector space
• Products of involutions in \(O^ +(V)\)
• Howe correspondences on a \(p\)-adic field
• Elementary geometry in hyperbolic space
• Reality properties of conjugacy classes in \(G_2\).
• Bireflectionality of orthogonal and symplectic groups of characteristic \(2\)
• Conjugacy classes in Möbius groups
• Real elements in small cancellation groups
• Conjugacy of real diffeomorphisms. A survey
• 𝑧-classes of isometries of the hyperbolic space
• Reversible maps in the group of quaternionic Möbius transformations
• REVERSIBLE MAPS IN ISOMETRY GROUPS OF SPHERICAL, EUCLIDEAN AND HYPERBOLIC SPACE
• Reversibility in the group of homeomorphisms of the circle
• Traces, Cross-Ratios and 2-Generator Subgroups of SU(2, 1)
• A Poincaré's polyhedron theorem for complex hyperbolic geometry
• Bireflectionality in Classical Groups
• Real conjugacy classes in algebraic groups and finite groups of Lie type
• Reality properties of conjugacy classes in spin groups and symplectic groups

This page was built for publication: Reversible complex hyperbolic isometries