Classification of Irreducible Weight Modules with a Finite-dimensional Weight Space over the Twisted Schrödinger-Virasoro Lie algebra

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dc.creatorLi, Junbo
dc.creatorSu, Yucai
dc.date2008-01-15
dc.date.accessioned2026-07-07T08:54:31Z
dc.date.available2026-07-07T08:54:31Z
dc.descriptionIt is shown that the support of an irreducible weight module over the Schrödinger-Virasoro Lie algebra with an infinite-dimensional weight space, coincides with the weight lattice and that all nontrivial weight spaces of such a module are infinite-dimensional. As a side-product, it is obtained that every simple weight module over the Schrödinger-Virasoro Lie algebra with a nontrivial finite-dimensional weight space, is a Harish-Chandra module.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/0801.2205
dc.identifierhttp://arxiv.org/abs/0801.2205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145961
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subject17B10; 17B65; 17B68
dc.titleClassification of Irreducible Weight Modules with a Finite-dimensional Weight Space over the Twisted Schrödinger-Virasoro Lie algebra
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