Derivations of a family of quantum second Weyl algebras

S Launois; I Oppong

doi:10.1016/j.bulsci.2023.103257

paper

Derivations of a family of quantum second Weyl algebras

arXiv:2204.12214 · doi:10.1016/j.bulsci.2023.103257

Abstract

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 these primitive quotients in the $G_{2}$ case and compute their Lie algebra of derivations.

38pp. Comments welcome

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Automorphism groups of deformations and quantizations of Kleinian singularities