Automorphisms and derivations of free Poisson algebras in two variables

Let P be a free Poisson algebra in two variables over a field of characteristic zero. We prove that the automorphisms of P are tame and that the locally nilpotent derivations of P are triangulable.

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Bibliographic Details
Published in:Journal of algebra 2009-11, Vol.322 (9), p.3318-3330
Main Authors: Makar-Limanov, Leonid, Turusbekova, Umut, Umirbaev, Ualbai
Format: Article
Language:English
Subjects:
Automorphisms
Derivations
Poisson algebras
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Description
Summary:Let P be a free Poisson algebra in two variables over a field of characteristic zero. We prove that the automorphisms of P are tame and that the locally nilpotent derivations of P are triangulable.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2008.01.005