Non-Noetherian generalized Heisenberg algebras
arXiv:1509.02682
Abstract
In this note we classify the non-Noetherian generalized Heisenberg algebras H(f) introduced by Rencai Lü and Kaiming Zhao [Linear Algebra Appl., 2015]. In case the polynomial f has degree greater than 1, we determine all locally finite and also all locally nilpotent derivations of H(f) and describe the automorphism group of these algebras.