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Integrable generators of Lie algebras of vector fields on ℂn

  • Rafael B. Andrist EMAIL logo
Published/Copyright: May 7, 2019

Abstract

There exist three vector fields with complete polynomial flows on n, n2, which generate the Lie algebra generated by all algebraic vector fields on n 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.

MSC 2010: 32M17; 32M25; 14R10

Communicated by Shigeharu Takayama


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Received: 2018-09-01
Revised: 2019-03-25
Published Online: 2019-05-07
Published in Print: 2019-07-01

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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