Poisson derivations of a semiclassical limit of a family of quantum second Weyl algebras

S. Launois; I. Oppong

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arXiv · 2306.07800

Poisson derivations of a semiclassical limit of a family of quantum second Weyl algebras

S. Launois·I. Oppong

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Abstract

In previous paper, we studied deformations $A_{\alpha,\beta}$ of the second Weyl algebra and computed their derivations. In the present paper, we identify the semiclassical limits $\mathcal{A}_{\alpha,\beta}$ of these deformations and compute their Poisson derivations. Our results show that the first Hochschild cohomology group HH$^1(A_{\alpha,\beta})$ is isomorphic to the first Poisson cohomology group HP$^1( \mathcal{A}_{\alpha,\beta}).$

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BibTeX RIS

S. Launois, I. Oppong. 2023-06-13. Poisson derivations of a semiclassical limit of a family of quantum second Weyl algebras. https://arxiv.org/abs/2306.07800

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