2 papers
math.RA2008
Automorphisms of elliptic Poisson algebras
Leonid Makar-Limanov, Umut Turusbekova, Ualbai Umirbaev
We describe the automorphism groups of elliptic Poisson algebras on polynomial algebras in three variables and give an explicit set of generators and defining relations for this gr…
math.RA2007
Automorphisms and derivations of free Poisson algebras in two variables
Leonid Makar-Limanov, Umut Turusbekova, Ualbai Umirbaev
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…