Non-Noetherian generalized Heisenberg algebras

DOI10.1142/S0219498817500645zbMath1385.16019arXiv1509.02682MaRDI QIDQ2988757

Samuel A. Lopes

Publication date: 19 May 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.02682

zbMATH Keywords

automorphism groupderivationambiskew polynomial ringgeneralized Heisenberg algebraweak generalized Weyl algebra

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Automorphisms and endomorphisms (16W20)

Related Items (3)

Quantum generalized Heisenberg algebras and their representations ⋮ Frattinian nilpotent Lie algebras ⋮ Structure and isomorphisms of quantum generalized Heisenberg algebras

Cites Work

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• Down-up algebras
• Down-up algebras and ambiskew polynomial rings
• Basic properties of generalized down-up algebras.
• Simple weight modules over weak generalized Weyl algebras.
• Finite-dimensional simple modules over generalized Heisenberg algebras
• Automorphisms and isomorphisms of quantum generalized Weyl algebras.
• A Class of Algebras Similar to the Enveloping Algebra of sl(2)
• Automorphisms of Generalized Down-Up Algebras
• Conformal S1₂ enveloping algebras
• SOME ALGEBRAS SIMILAR TO THE ENVELOPING ALGEBRA OF sl(2)

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