Integrable generators of Lie algebras of vector fields on â.,n

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dc.contributor.authorAndrist, Rafael B.
dc.contributor.departmentDepartment of Mathematics
dc.contributor.facultyFaculty of Arts and Sciences (FAS)
dc.contributor.institutionAmerican University of Beirut
dc.date.accessioned2025-01-24T11:24:36Z
dc.date.available2025-01-24T11:24:36Z
dc.date.issued2019
dc.description.abstractThere exist three vector fields with complete polynomial flows on Cn , n ≥ 2 , which generate the Lie algebra generated by all algebraic vector fields on Cn with complete polynomial flows. In particular, the flows of these vector fields generate a group that acts infinitely transitively. The analogous result holds in the holomorphic setting. © 2019 Walter de Gruyter GmbH, Berlin/Boston.
dc.identifier.doihttps://doi.org/10.1515/forum-2018-0204
dc.identifier.eid2-s2.0-85068479964
dc.identifier.urihttp://hdl.handle.net/10938/26050
dc.language.isoen
dc.publisherDe Gruyter
dc.relation.ispartofForum Mathematicum
dc.sourceScopus
dc.subjectAndersen-lempert theory
dc.subjectCompletely integrable vector fields
dc.subjectDensity property
dc.titleIntegrable generators of Lie algebras of vector fields on â.,n
dc.typeArticle

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