Local Limits of Connected Subgroups of $SL_3(\mathbb{R})$
Nir Lazarovich, Arielle Leitner
TL;DR
This paper classifies how all closed connected subgroups of SL(3,R) behave under conjugation limits within the Chabauty topology, providing a comprehensive understanding of their local limit structures.
Contribution
It offers a complete description of the local limits of all closed connected subgroups of SL(3,R) under conjugation, a novel classification in the context of Lie group topology.
Findings
Classification of local limits of subgroups under conjugation
Description of limits in the Chabauty topology
Comprehensive subgroup limit structures for SL(3,R)
Abstract
In this paper we describe the local limits under conjugation of all closed connected subgroups of in the Chabauty topology.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Finite Group Theory Research · Geometric and Algebraic Topology