Globally Irreducible Weyl Modules for Quantum Groups

Abstract

The authors proved that a Weyl module for a simple algebraic group is irreducible over every field if and only if the module is isomorphic to the adjoint representation for or its highest weight is minuscule. In this paper, we prove an analogous criteria for irreducibility of Weyl modules over the quantum group where is a complex simple Lie algebra and ranges over roots of unity.