Derivations of a family of quantum second Weyl algebras

Launois, Stephane, Oppong, Isaac (2023) Derivations of a family of quantum second Weyl algebras. Bulletin des Sciences Mathématiques, 184 . Article Number 103257. ISSN 0007-4497. (doi:10.1016/j.bulsci.2023.103257) (KAR id:100448)

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Abstract

In view of a well-known theorem of Dixmier, its is natural to consider primitive quotients of U+q(g) as quantum analogues of Weyl algebras. In this work, we study primitive quotients of U+q(G2) and compute their Lie algebra of derivations. In particular, we show that, in some cases, all derivationsare inner showing that the corresponding primitive quotients of U+q(G2) should be considered as deformations of Weyl algebras.

Item Type:	Article
DOI/Identification number:	10.1016/j.bulsci.2023.103257
Additional information:	For the purpose of open access, the author has applied a CC BY public copyright licence (where permitted by UKRI, an Open Government Licence or CC BY ND public copyright licence may be used instead) to any Author Accepted Manuscript version arising.
Subjects:	Q Science > QA Mathematics (inc Computing science)
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Funders:	Engineering and Physical Sciences Research Council (https://ror.org/0439y7842)
Depositing User:	Stephane Launois
Date Deposited:	13 Mar 2023 14:49 UTC
Last Modified:	04 Mar 2024 18:08 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/100448 (The current URI for this page, for reference purposes)

University of Kent Author Information

Launois, Stephane.

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

Oppong, Isaac.

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