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

Abstract

There 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.