English

On the automorphisms of quantum Weyl algebras

Quantum Algebra 2018-07-13 v2 Rings and Algebras

Abstract

Motivated by Weyl algebra analogues of the Jacobian conjecture and the Tame Generators problem, we prove quantum versions of these problems for a family of analogues to the Weyl algebras. In particular, our results cover the Weyl-Hayashi algebras and tensor powers of a quantization of the first Weyl algebra which arises as a primitive factor algebra of Uq+(so5)U_q^+(\mathfrak{so}_5).

Keywords

Cite

@article{arxiv.1511.01775,
  title  = {On the automorphisms of quantum Weyl algebras},
  author = {A. P. Kitchin and S. Launois},
  journal= {arXiv preprint arXiv:1511.01775},
  year   = {2018}
}

Comments

18 pages; minor corrections; to appear in Journal of Pure and Applied Algebra