# Category of Quantizations and Inverse Problem

@inproceedings{Sako2022CategoryOQ, title={Category of Quantizations and Inverse Problem}, author={Akifumi Sako}, year={2022} }

We introduce a category composed of all quantizations of all Poisson algebras. By the category, we can treat in a uniﬁed way the various quantizations for all Poisson algebras and develop a new classical limit formulation. This formulation proposes a new method for the inverse problem, that is, the problem of ﬁnding the classical limit from a quantized space. Equivalence of quantizations is deﬁned by using this category, and the conditions under which the two quantizations are equivalent are…

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