Launois, Stephane, Oppong, I. (2024) Poisson derivations of a semiclassical limit of a family of quantum second Weyl algebras. Journal of Geometry and Physics, 196 . Article Number 105077. ISSN 0393-0440. E-ISSN 1879-1662. (doi:10.1016/j.geomphys.2023.105077) (KAR id:104347)
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Language: English 
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| Official URL: https://doi.org/10.1016/j.geomphys.2023.105077 |
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Abstract
In [16], we studied deformations Aα,β of the second Weyl algebra and computed their derivations. In the present paper, we identify the semiclassical limits Aα,β of these deformations and compute their Poisson derivations. Our results show that the first Hochschild cohomology group HH1(Aα,β ) is isomorphic to the first Poisson cohomology group HP1(Aα,β )
| Item Type: | Article |
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| DOI/Identification number: | 10.1016/j.geomphys.2023.105077 |
| Additional information: | For the purpose of open access, the author(s) has applied a Creative Commons Attribution (CC BY) licence to any Author Accepted Manuscript version arising. |
| Uncontrolled keywords: | semiclassical limits, poisson derivations, poisson algebras, poisson primitive ideals |
| Subjects: | Q 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: | 19 Dec 2023 10:35 UTC |
| Last Modified: | 27 Feb 2024 10:18 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/104347 (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
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