Verma-type Modules for Quantum Affine Lie Algebras
量子代数
2007-05-23 v1 表示论
摘要
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(\l) in the sense that the weight structure is preserved under the deformation. We also analyze the submodule structure of quantum Verma-type modules.
引用
@article{arxiv.math/0010322,
title = {Verma-type Modules for Quantum Affine Lie Algebras},
author = {Vyacheslav M. Futorny and Duncan J. Melville and Alexander N. Grishkov},
journal= {arXiv preprint arXiv:math/0010322},
year = {2007}
}
备注
24 pages, AMSTeX 2.0