Locally finite simple weight modules over twisted generalized Weyl algebras

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dc.creatorHartwig, Jonas T.
dc.date2005-02-16
dc.date2005-04-08
dc.date.accessioned2026-07-07T06:33:03Z
dc.date.available2026-07-07T06:33:03Z
dc.descriptionWe present methods and explicit formulas for describing simple weight modules over twisted generalized Weyl algebras. When a certain commutative subalgebra is finitely generated over an algebraically closed field we obtain a classification of a class of locally finite simple weight modules as those induced from simple modules over a subalgebra isomorphic to a tensor product of noncommutative tori. As an application we describe simple weight modules over the quantized Weyl algebra.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0502352
dc.identifierhttp://arxiv.org/abs/math/0502352
dc.identifierJournal of Algebra, 303 Issue 1 (2006), 42-76
dc.identifierdoi:10.1016/j.jalgebra.2006.05.036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99066
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject16G99 (Primary); 16D60, 81R10, 17B37 (Secondary)
dc.titleLocally finite simple weight modules over twisted generalized Weyl algebras
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