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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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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 (
Depositing User: Stephane Launois
Date Deposited: 13 Mar 2023 14:49 UTC
Last Modified: 04 Mar 2024 18:08 UTC
Resource URI: (The current URI for this page, for reference purposes)

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Launois, Stephane.

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Oppong, Isaac.

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