Irreducible completely pointed modules of quantum groups of type A

@article{Futorny2014IrreducibleCP,
title={Irreducible completely pointed modules of quantum groups of type A},
author={V. Futorny and J. Hartwig and E. Wilson},
journal={Journal of Algebra},
year={2014},
volume={432},
pages={252-279}
}

Abstract We give a classification of all irreducible completely pointed U q ( sl n + 1 ) modules over a characteristic zero field in which q is not a root of unity. This generalizes the classification result of Benkart, Britten and Lemire in the non-quantum case. We also show that any infinite-dimensional irreducible completely pointed U q ( sl n + 1 ) can be obtained from some irreducible completely pointed module over the quantized Weyl algebra A n + 1 q .