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arXiv · 2305.07674

Control sets on maximal compact subgroups

Mauro Patrão·Laércio dos Santos
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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.

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Mauro Patrão, Laércio dos Santos. 2023-05-11. Control sets on maximal compact subgroups. https://arxiv.org/abs/2305.07674

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