Classification of irreducible weight modules with a finite dimensional weight space over twisted Heisenberg-Virasoro algebra

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dc.creatorShen, Ran
dc.creatorSu, Yucai
dc.date2005-12-10
dc.date.accessioned2026-07-07T06:55:01Z
dc.date.available2026-07-07T06:55:01Z
dc.descriptionWe show that the support of an irreducible weight module over the twisted Heisenberg-Virasoro algebra, which has 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 corollary, we obtain that every irreducible weight module over the twisted Heisenberg-Virasoro algebra, having a nontrivial finite dimensional weight space, is a Harish-Chandra module (and hence is either an irreducible highest or lowest weight module or an irreducible module from the intermediate series
dc.descriptionLaTeX, 5 pages
dc.identifierhttps://arxiv.org/abs/math/0512209
dc.identifierhttp://arxiv.org/abs/math/0512209
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106152
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject17B56; 17B68
dc.titleClassification of irreducible weight modules with a finite dimensional weight space over twisted Heisenberg-Virasoro algebra
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