Non-Noetherian generalized Heisenberg algebras
Rings and Algebras
2015-09-10 v1
Abstract
In this note we classify the non-Noetherian generalized Heisenberg algebras H(f) introduced by Rencai L\"u 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.
Cite
@article{arxiv.1509.02682,
title = {Non-Noetherian generalized Heisenberg algebras},
author = {Samuel A. Lopes},
journal= {arXiv preprint arXiv:1509.02682},
year = {2015}
}