A Generalization of the Quantization of Poisson Manifolds

Autor: Akifumi Sako, Yuji Hirota, Jumpei Gohara

Publikováno v: Proceedings of the Twenty-First International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Vladimir Pulov and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2020)

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 generalize

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce1de5698c1676d85cb57b7b2b31b891
https://projecteuclid.org/euclid.pgiq/1602640831

Categorical Perspective on Quantization of Poisson Algebra

Autor: Akifumi Sako, Jumpei Gohara, Yuji Hirota

We propose a generalization of quantization as a categorical way. For a fixed Poisson algebra quantization categories are defined as subcategories of R-module category with the structure of classical limits. We construct the generalized quantization

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8378f7101c465f3c4dc3dc359ca31e68