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arXiv · 2607.14873

Kernel method for M\"obius transformations and hyperbolic representations of groups

Gonzalo Emiliano Ruiz Stolowicz
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Abstract

A new kernel method is introduced for isometric actions of groups on real or complex hyperbolic spaces that allows us to classify such representations for $\mathrm{PSL}_2(\R)$ and give sufficient and necessary conditions for two such representations of any group to be conjugated.

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Gonzalo Emiliano Ruiz Stolowicz. 2026-07-16. Kernel method for M\"obius transformations and hyperbolic representations of groups. https://arxiv.org/abs/2607.14873

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