Quasi-isometric free group representations into SL_3(R)
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916470072541184 |
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| author | Carvajales, León Lessa, Pablo Potrie, Rafael |
| author_facet | Carvajales, León Lessa, Pablo Potrie, Rafael |
| contents | We study quasi-isometric representations of finitely generated non-abelian free groups into some higher rank semi-simple Lie groups which are not Anosov, nor approximated by Anosov. We show in some cases that these can be perturbed to be non-quasi-isometric, or to have some instability properties with respect to their action on the flag space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03509 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasi-isometric free group representations into SL_3(R) Carvajales, León Lessa, Pablo Potrie, Rafael Group Theory Dynamical Systems Geometric Topology We study quasi-isometric representations of finitely generated non-abelian free groups into some higher rank semi-simple Lie groups which are not Anosov, nor approximated by Anosov. We show in some cases that these can be perturbed to be non-quasi-isometric, or to have some instability properties with respect to their action on the flag space. |
| title | Quasi-isometric free group representations into SL_3(R) |
| topic | Group Theory Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2411.03509 |