Derivations of a family of quantum second Weyl algebras

S Launois; I Oppong

doi:10.1016/j.bulsci.2023.103257

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arXiv · 2204.12214

Derivations of a family of quantum second Weyl algebras

S Launois·I Oppong

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Abstract

In view of a well-known theorem of Dixmier, its is natural to consider primitive quotients of $U_q^+(\mathfrak{g})$ as quantum analogues of Weyl algebras. In this work, we study these primitive quotients in the $G_2$ case and compute their Lie algebra of derivations.

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S Launois, I Oppong. 2022-04-26. Derivations of a family of quantum second Weyl algebras. https://doi.org/10.1016/j.bulsci.2023.103257

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