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July 13, 2026Ergodic Theory and Dynamical Systems0 citationsOpen Access

Invariant random subgroups on certain orbits

MCManoj ChoudhuriCRC. R. E. Raja

Key Points

  • This study aims to investigate the existence of invariant random subgroups supported on orbits of the conjugation action of connected Lie groups.
  • Analysis of the space of closed subgroups of G using Chabauty topology.
  • Examination of conjugation actions on the closed subgroups.
  • Demonstrated the existence of invariant random subgroups on various conjugate orbits.
  • Described structural relationships between the subgroups in the considered space.

Abstract

Abstract Let G be a connected Lie group and Sub G SubG upper S u b Subscript upper 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 Sub G SubG upper S u b Subscript upper G.

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Cite This Study

Choudhuri et al. (2026) studied this question.

synapsesocial.com/papers/6a547f6d475c38bf615a50f2https://doi.org/10.1017/etds.2026.10326
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