Quantum deformations of \(\alpha\)-stratified modules
The authors show that \(\alpha\)-stratified generalized Verma modules (i.e modules induced from a parabolic subalgebra, whose Levi factor has the semi-simple part isomorphic to \(sl(2)\)) over a simple finite-dimensional complex Lie algebra possess a deformation to generalized Verma modules over quantum universal enveloping algebras that preserves the weight-space decomposition.
scientific article; zbMATH DE number 1271027