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}
}
  • V. Futorny, J. Hartwig, E. Wilson
  • Published 2014
  • Mathematics
  • Journal of Algebra
  • 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 . 
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