Control sets on maximal compact subgroups
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910483892666368 |
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| author | Patrão, Mauro Santos, Laércio dos |
| author_facet | Patrão, Mauro Santos, Laércio dos |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_07674 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Control sets on maximal compact subgroups Patrão, Mauro Santos, Laércio dos Dynamical Systems Optimization and Control 22E46, 22F30, 93B05 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. |
| title | Control sets on maximal compact subgroups |
| topic | Dynamical Systems Optimization and Control 22E46, 22F30, 93B05 |
| url | https://arxiv.org/abs/2305.07674 |