English

Quantum groups, q-Boson algebras and quantized Weyl algebras

Quantum Algebra 2015-08-11 v3

Abstract

We give a unified construction of quantum groups, q-Boson algebras and quantized Weyl algebras and an action of quantum groups on quantized Weyl algebras. This enables us to give a conceptual proof of the semi-simplicity of the category O(Bq)\mathcal{O}(B_q) introduced by T.Nakashima and the classification of all simple objects in it.

Keywords

Cite

@article{arxiv.1004.0171,
  title  = {Quantum groups, q-Boson algebras and quantized Weyl algebras},
  author = {Xin Fang},
  journal= {arXiv preprint arXiv:1004.0171},
  year   = {2015}
}

Comments

18 pages, version to appear

R2 v1 2026-06-21T15:05:34.842Z