Invariant random subgroups on certain orbits
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909991251738624 |
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| author | Choudhuri, Manoj Raja, C. R. E. |
| author_facet | Choudhuri, Manoj Raja, C. R. E. |
| contents | Let $G$ be a connected Lie group and $\text{Sub}_G$ be the space of closed subgroups of $G$ equipped with the Chabauty topology. In this article, we investigate the existence of invariant random subgroups of $G$ supported on various orbits of the conjugation action of $G$ on $\text{Sub}_G$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09723 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Invariant random subgroups on certain orbits Choudhuri, Manoj Raja, C. R. E. Dynamical Systems General Topology Group Theory Primary: 28D15, 22E15, secondary: 37A15, 37B02 Let $G$ be a connected Lie group and $\text{Sub}_G$ be the space of closed subgroups of $G$ equipped with the Chabauty topology. In this article, we investigate the existence of invariant random subgroups of $G$ supported on various orbits of the conjugation action of $G$ on $\text{Sub}_G$. |
| title | Invariant random subgroups on certain orbits |
| topic | Dynamical Systems General Topology Group Theory Primary: 28D15, 22E15, secondary: 37A15, 37B02 |
| url | https://arxiv.org/abs/2506.09723 |