Abstract
In this note, we classify the non-Noetherian generalized Heisenberg algebras [Formula: see text] introduced in [R. Lü and K. Zhao, Finite-dimensional simple modules over generalized Heisenberg algebras, Linear Algebra Appl. 475 (2015) 276–291]. In case deg [Formula: see text] > 1, we determine all locally finite and also all locally nilpotent derivations of [Formula: see text] and describe the automorphism group of these algebras.
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