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arXiv · 1509.02682

Non-Noetherian generalized Heisenberg algebras

Samuel A. Lopes
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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.

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Samuel A. Lopes. 2015-09-09. Non-Noetherian generalized Heisenberg algebras. https://arxiv.org/abs/1509.02682

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