Verma-type Modules for Quantum Affine Lie Algebras

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Let 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.
24 pages, AMSTeX 2.0

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Quantum Algebra, Representation Theory, 17B37; 17B67; 81R50

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http://salesiana.dossiersoluciones.com/handle/123456789/60256

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0010322
 http://arxiv.org/abs/math/0010322

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arXiv