Invariant random subgroups on certain orbits

Manoj Choudhuri; C. R. E. Raja

Invariant random subgroups on certain orbits

Dynamical Systems 2026-01-16 v2 General Topology Group Theory

Authors: Manoj Choudhuri , C. R. E. Raja

Abstract

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 $\text{Sub}_G$ .

Keywords

nilpotent orbits algebraic group actions invariant theory

Cite

@article{arxiv.2506.09723,
  title  = {Invariant random subgroups on certain orbits},
  author = {Manoj Choudhuri and C. R. E. Raja},
  journal= {arXiv preprint arXiv:2506.09723},
  year   = {2026}
}

Comments

The previous version of the article with the title "IRS on orbits and the case of $\SL(2,\mathbb{R})\ltimes \mathbb{R}^2$" is now made into two separate articles. The first one is the present one with the title "Invariant random subgroups on certain orbits". The second one will appear soon on the arXiv with a different title

Invariant random subgroups on certain orbits

Abstract

Keywords

Cite

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