Control sets on maximal compact subgroups
Dynamical Systems
2024-06-14 v2 Optimization and Control
Abstract
In this paper we study the action of semigroups with nonempty interior of noncompact connected semisimple Lie groups, with finite center, on their maximal compact connected subgroups. As main results we describe the set of transitivity of a control set as fixed points of regular elements in the semigroup, and determine the number of control sets.
Cite
@article{arxiv.2305.07674,
title = {Control sets on maximal compact subgroups},
author = {Mauro Patrão and Laércio dos Santos},
journal= {arXiv preprint arXiv:2305.07674},
year = {2024}
}
Comments
Control sets, semisimple Lie groups, maximal compact subgroups, semigroups