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VOL. 21 | 2020 A Generalization of the Quantization of Poisson Manifolds
Jumpei Gohara, Yuji Hirota, Akifumi Sako

## Abstract

We propose a unified perspective of quantization using a categorical approach. From a fixed Poisson algebra, we define quantization categories as subcategories of the $R$-module category equipped with the structure of classical limits. The generalized quantization categories have a huge structure including matrix regularization, strict deformation quantization, prequantization, Poisson enveloping algebra and so on.

## Information

Published: 1 January 2020
First available in Project Euclid: 14 October 2020

Digital Object Identifier: 10.7546/giq-21-2020-138-148