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Derivations of a family of quantum second Weyl algebras

Published 26 Apr 2022 in math.QA, math.RA, and math.RT | (2204.12214v1)

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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