Verma-type Modules for Quantum Affine Lie Algebras [article]

Vyacheslav M. Futorny, Duncan J. Melville, Alexander N. Grishkov
2000 arXiv   pre-print
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.
arXiv:math/0010322v1 fatcat:2ouqj6ppbrh6pdfatbibrd6fye