Integrable generators of Lie algebras of vector fields on ℂⁿ

2018/08/21 by Andrist, Rafael B.
#14R20 #32M17 #32M25 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1808.06905

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 transitive. The analogous result holds in the holomorphic setting.

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