Quaternionic hyperbolic Fenchel-Nielsen coordinates
DOI10.1007/s10711-018-0347-0zbMath1429.57020arXiv1708.06044OpenAlexW2963875996MaRDI QIDQ1736084
Sagar B. Kalane, Krishnendu Gongopadhyay
Publication date: 29 March 2019
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.06044
Hyperbolic and elliptic geometries (general) and generalizations (51M10) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) General geometric structures on low-dimensional manifolds (57M50) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)
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Cites Work
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- The modular action on \(\mathrm{PSL}_2(\mathbb{R})\)-characters in genus 2
- Delambre-Gauss formulas for augmented, right-angled hexagons in hyperbolic 4-space
- On a quaternionic analogue of the cross-ratio
- The moduli space of points in the boundary of complex hyperbolic space
- Algebraic characterization of the isometries of the hyperbolic 5-space
- Geometric structures associated to triangulations as fixed point sets of involutions
- On the classifications of unitary matrices
- Complex hyperbolic Fenchel-Nielsen coordinates
- The Fenchel-Nielsen deformation
- Cross-ratios and the Ptolemaean inequality in boundaries of symmetric spaces of rank 1
- Generators, relations and symmetries in pairs of \(3\times 3\) unimodular matrices
- Conjugacy classification of quaternionic Möbius transformations
- Algebraic characterization of isometries of the complex and the quaternionic hyperbolic planes
- Quaternionic matrices: Unitary similarity, simultaneous triangularization and some trace identities
- Congruence classes of points in quaternionic hyperbolic space
- Classification of quaternionic hyperbolic isometries
- Two-generator groups acting on the complex hyperbolic plane
- Cartan angular invariant and deformations of rank 1 symmetric spaces
- Trace Coordinates on Fricke spaces of some simple hyperbolic surfaces
- Traces, Cross-Ratios and 2-Generator Subgroups of SU(2, 1)
- COMPLEX FENCHEL-NIELSEN COORDINATES FOR QUASI-FUCHSIAN STRUCTURES
- Complex length coordinates for quasi‐fuchsian groups
- On Fenchel–Nielsen Coordinates of Surface Group Representations into SU(3,1)
- On the classification of quaternionic Möbius transformations
- TRACES IN COMPLEX HYPERBOLIC GEOMETRY
- Hyperbolic Manifolds
- Invariants of pairs in 𝑆𝐿(4,ℂ) and 𝕊𝕌(3,1)
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