English

Automorphisms and derivations of free Poisson algebras in two variables

Rings and Algebras 2020-01-03 v1 Symplectic Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.0708.1148,
  title  = {Automorphisms and derivations of free Poisson algebras in two variables},
  author = {Leonid Makar-Limanov and Umut Turusbekova and Ualbai Umirbaev},
  journal= {arXiv preprint arXiv:0708.1148},
  year   = {2020}
}

Comments

11 pages