Automorphisms and derivations of free Poisson algebras in two variables
By L. Makar-Limanov, U. Turusbekova, Ualbai U. Umirbaev. 2007
52 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/138df86de8f2f74adf1a76a4196504eed5ff4d32
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In Algebra and Number Theory
In Geometry and Topology
Citations in the corpus
- Universal enveloping algebras and universal derivations of Poisson algebras (2011, background): “The first one was given in [17] by studing the locally nilpotent derivations and the second was given in [19] as a corollary of the Freiheitssatz.”
- Acylindrical hyperbolicity of groups acting on trees (2013, unknown): “This group is sometimes called the integral 2-dimensional Cremona groups over k and is also isomorphic to the group of automorphisms of the free associative algebra k〈x, y〉 [28,59]; if char k = 0 it is also isomorphic to the group of automorphisms of the free 2-generated Poisson algebra [60].”