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Fedosov quantization in positive characteristic

R. Bezrukavnikov·D. Kaledin
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Abstract

We study the problem of deformation quantization for (algebraic) symplectic manifolds over a base field of positive characteristic. We prove a reasonably complete classification theorem for one class of such quantizations; in the course of doing it, we also introduce a notion of a restricted Poisson algebra -- the Poisson analog of the standard notion of a restrictted Lie algebra -- and we prove a version of Darboux Theorem valid in positive characteristic setting.

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R. Bezrukavnikov, D. Kaledin. 2007-09-09. Fedosov quantization in positive characteristic. https://arxiv.org/abs/math/0501247

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