Automorphisms of Generalized Down-Up Algebras

DOI10.1080/00927870802209987zbMath1173.16013arXiv0706.3355OpenAlexW2963681642MaRDI QIDQ3638415

Samuel A. Lopes, Paula A. A. B. Carvalho

Publication date: 2 July 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.3355

zbMATH Keywords

automorphism groupsgeneralized Weyl algebrasgeneralized down-up algebrasNoetherian down-up algebras

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

Primitive Ideals of Noetherian Generalized Down-Up Algebras ⋮ Quantum generalized Heisenberg algebras and their representations ⋮ Generalized down-up algebras revisited from a viewpoint of Gröbner basis theory ⋮ Skew derivations on generalized Weyl algebras ⋮ Classification of factorial generalized down-up algebras. ⋮ A Morita Cancellation Problem ⋮ Gelfand–Kirillov dimension of generalized Weyl algebras (In memory of Guenter Rudolf Krause (1941–2015)) ⋮ Non-Noetherian generalized Heisenberg algebras ⋮ Hochschild homology and cohomology of down-up algebras ⋮ Algebra endomorphisms and derivations of some localized down-up algebras ⋮ Down–up algebras over a polynomial base ring 𝕂[t₁,…,t_n] ⋮ Classification of twisted generalized Weyl algebras over polynomial rings ⋮ Twisted Generalized Weyl Algebras, Polynomial Cartan Matrices and Serre-Type Relations ⋮ Two-Parameter Analogs of the Heisenberg Enveloping Algebra ⋮ Projective resolutions of associative algebras and ambiguities. ⋮ Structure and isomorphisms of quantum generalized Heisenberg algebras

Cites Work

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• PRIMITIVE IDEALS AND AUTOMORPHISM GROUP OF $U_{q}^{+}(B_{2})$
• Un automorphisme non modéré deU(g₃)
• Derivations et automorphismes de quelques algebras quantiques
• A wild automorphism ofUsl(2)
• Noetherian down-up algebras
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• Rigidité des plongements des quotients primitifs minimaux de U_g(sl(2)) dans l’algebre quantique de Weyl-Hayashi
• ISOMORPHISMS BETWEEN QUANTUM GENERALIZED WEYL ALGEBRAS

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