Launois, S. and Oppong, Isaac (2023) Poisson derivations of a semiclassical limit of a family of quantum second Weyl algebras. Journal of Geometry and Physics, 196:105077. pp. 1-33. ISSN 0393-0440 (Print), 1879-1662 (Online) (doi:https://doi.org/10.1016/j.geomphys.2023.105077)

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Abstract

In [16], we studied deformations Aa,b of the second Weyl algebra and computed their derivations. In the present paper, we identify the semiclassical limits of these deformations and compute their Poisson derivations. Our results show that the first Hochschild cohomology group HH1(Aa,b) is isomorphic to the first Poisson cohomology group HP1(Aa,b).
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Item Type:	Article
Uncontrolled Keywords:	semiclassical limits; poisson derivations; poisson algebras; poisson primitive ideals
Subjects:	Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Faculty / School / Research Centre / Research Group:	Faculty of Engineering & Science Faculty of Engineering & Science > School of Computing & Mathematical Sciences (CMS)
Last Modified:	18 Dec 2023 10:34
URI:	http://gala.gre.ac.uk/id/eprint/45141

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