Automorphisms of Generalized Down-Up Algebras

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dc.creatorCarvalho, Paula A. A. B.
dc.creatorLopes, Samuel A.
dc.date2007-06-22
dc.date.accessioned2026-07-07T08:11:55Z
dc.date.available2026-07-07T08:11:55Z
dc.descriptionA generalization of down-up algebras was introduced by Cassidy and Shelton (J. Algebra 279 (2004), no. 1), the so-called generalized down-up algebras. We describe the automorphism group of conformal Noetherian generalized down-up algebras L(f,r,s,γ) such that r is not a root of unity, listing explicitly the elements of the group. In the last section we apply these results to Noetherian down-up algebras, thus obtaining a characterization of the automorphism group of Noetherian down-up algebras A(α, β, γ) for which the roots of the polynomial X^2-αX-βare not both roots of unity.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/0706.3355
dc.identifierhttp://arxiv.org/abs/0706.3355
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132280
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subject16W20, 16S30, 17B37
dc.titleAutomorphisms of Generalized Down-Up Algebras
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