The Zhang transformation and U_q(osp(1,2l))-Verma modules annihilators

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dc.creatorLanzmann, Emmanuel
dc.date1999-11-07
dc.date.accessioned2026-07-07T05:31:28Z
dc.date.available2026-07-07T05:31:28Z
dc.descriptionIn [ZH], R.B. Zhang found a way to link certain formal deformations of the Lie algebra o(2l+1) and the Lie superalgebra osp(1,2l). The aim of this article is to reformulate the Zhang transformation in the context of the quantum enveloping algebras "à la" Drinfeld-Jimbo and to show how this construction can explain the main theorem of [GL2]: the annihilator of a Verma module over the Lie superalgebra osp(1,2l) is generated by its intersection with the centralizer of the even part of the enveloping algbra.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/9911041
dc.identifierhttp://arxiv.org/abs/math/9911041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79356
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B37; 17B10
dc.titleThe Zhang transformation and U_q(osp(1,2l))-Verma modules annihilators
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