English

An Anick type wild automorphism of free Poisson algebras

Rings and Algebras 2024-07-09 v1

Abstract

We construct an Anick type wild automorphism δ\delta in a 3-generated free Poisson algebra which induces a tame automorphism in a 3-generated polynomial algebra. We also show that δ\delta is stably tame. Dedicated to the memory of professor V.A.Roman'kov

Keywords

Cite

@article{arxiv.2407.04919,
  title  = {An Anick type wild automorphism of free Poisson algebras},
  author = {Ivan Shestakov and Zerui Zhang},
  journal= {arXiv preprint arXiv:2407.04919},
  year   = {2024}
}