Verma-type Modules for Quantum Affine Lie Algebras

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dc.creatorFutorny, Vyacheslav M.
dc.creatorMelville, Duncan J.
dc.creatorGrishkov, Alexander N.
dc.date2000-10-31
dc.date.accessioned2026-07-07T04:38:23Z
dc.date.available2026-07-07T04:38:23Z
dc.descriptionLet g be an untwisted affine Kac-Moody algebra and M_J(lambda) a Verma-type module for g with J-highest integral weight lambda. We construct quantum Verma-type modules M_J^q(lambda) over the quantum group U_q(g), investigate their properties and show that M_J^q(lambda) is a true quantum deformation of M_J(ł) in the sense that the weight structure is preserved under the deformation. We also analyze the submodule structure of quantum Verma-type modules.
dc.description24 pages, AMSTeX 2.0
dc.identifierhttps://arxiv.org/abs/math/0010322
dc.identifierhttp://arxiv.org/abs/math/0010322
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60256
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B37; 17B67; 81R50
dc.titleVerma-type Modules for Quantum Affine Lie Algebras
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