(1) Instituto de Matematica, Universidade do Sao Paulo, Sao Paulo, Brasil;(2) Department of Mathematics, St. Lawrence University, Canton, NY, 13617, U.S.A.
Abstract:
Let be an untwisted affine Kac–Moody algebra and MJ() a Verma-type module for with J-highest weight P. We construct quantum Verma-type modules MJq() over the quantum group , investigate their properties and show that MJq() is a true quantum deformation of MJ() in the sense that the weight structure is preserved under the deformation. We also analyze the submodule structure of quantum Verma-type modules.Presented by A. VerschorenMathematics Subject Classifications (2000) 17B37, 17B67, 81R50.The first author is a Regular Associate of the ICTP. The third author was supported in part by a Faculty Research Grant from St. Lawrence University.