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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Official URL: https://doi.org/10.1016/j.jpaa.2018.06.016

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
DOI/Identification number:	10.1016/j.jpaa.2018.06.016
Uncontrolled keywords:	Weyl Algebras, The Tame Generators Problem, Endomorphisms
Subjects:	Q Science > QA Mathematics (inc Computing science) Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Stephane Launois
Date Deposited:	10 Dec 2015 11:37 UTC
Last Modified:	05 Nov 2024 10:39 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/53002 (The current URI for this page, for reference purposes)

University of Kent Author Information

Kitchin, Andrew.

Creator's ORCID:
CReDIT Contributor Roles:

Launois, Stephane.

Creator's ORCID:	https://orcid.org/0000-0001-7252-8515
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