Weakly Hamiltonian actions
n this paper we generalize constructions of non-commutative in- tegrable systems to the context of weakly Hamiltonian actions on Poisson manifolds. In particular we prove that abelian weakly Hamiltonian actions on symplectic manifolds split into Hamiltonian and non-Hamiltonian factors, and explore g...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2016 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositório: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglês |
| OAI Identifier: | oai:upcommons.upc.edu:2117/89914 |
| Acesso em linha: | https://hdl.handle.net/2117/89914 https://dx.doi.org/10.1016/j.geomphys.2016.04.022 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Hamiltonian systems Weakly Hamiltonian actions Integrable systems Lie algebras Poisson geometry Real analytic functions Sistemes hamiltonians Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals |
| Resumo: | n this paper we generalize constructions of non-commutative in- tegrable systems to the context of weakly Hamiltonian actions on Poisson manifolds. In particular we prove that abelian weakly Hamiltonian actions on symplectic manifolds split into Hamiltonian and non-Hamiltonian factors, and explore generalizations in the Poisson setting. |
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