Integrable generators of Lie algebras of vector fields on ${\mathbb{C}}^n$

Abstract

There exist three vector fields with complete polynomial flows on ${\mathbb{C}}^n$, $n\ge 2$, which generate the Lie algebra generated by all algebraic vector fields on ${\mathbb{C}}^n$ with complete polynomial flows. In particular, the flows of these vector fields generate a group that acts infinitely transitive. The analogous result holds in the holomorphic setting.

7 pages

Cited by in corpus (1)

• Infinite transitivity, finite generation, and Demazure roots