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Bibliographic Details
Main Author: Xiao, Husileng
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2407.19450
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Table of Contents:
  • We classify deformation quantizations of the symplectic supervarieties that are smooth and admissible. This generalizes the corresponding result of Bezrukavnikov and Kaledin to the super case. We relate the equivalence classes of quantizations of supervarieties with that of their even reduced symplectic varieties. Finally, we prove that certain nilpotent orbits of basic Lie superalgebras are admissible and split, and classify their deformation quantizations.