# On the automorphisms of quantum Weyl algebras

Kitchin, Andrew, Launois, Stephane (2019) On the automorphisms of quantum Weyl algebras. Journal of Pure and Applied Algebra, 223 (4). pp. 1514-1530. ISSN 0022-4049. (doi:10.1016/j.jpaa.2018.06.016) (KAR id:53002)

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## 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 U+q(so5).

Item Type: Article 10.1016/j.jpaa.2018.06.016 Weyl Algebras, The Tame Generators Problem, Endomorphisms Q Science > QA Mathematics (inc Computing science)Q Science > QA Mathematics (inc Computing science) > QA150 Algebra Faculties > Sciences > School of Mathematics Statistics and Actuarial Science Stephane Launois 10 Dec 2015 11:37 UTC 06 May 2020 03:13 UTC https://kar.kent.ac.uk/id/eprint/53002 (The current URI for this page, for reference purposes) https://orcid.org/0000-0001-7252-8515