@inproceedings{8093c039d6664fd9b0d531b594e93ff0,
title = "Lie Algebra and Quantization in Quantum World",
abstract = "We discuss the inverse problem of determining a Poisson algebra as a classical limit from some Lie algebra as a quantized space. There exists a category of quantization that contain quantizations as the morphisms and Poisson algebras and Lie algebras as the objects. We formulate the classical limit within the category. From a Lie algebra, we construct a sequence of quantized spaces, from which we determine a Poisson algebra by a classical limit as the category theory. We present a method to obtain this sequence of the quantizations from the principle of least action by using a kind of matrix model.",
keywords = "Fuzzy space, Lie algebra, Matrix model, Matrix regularization, Poisson algebra, Quantization",
author = "Akifumi Sako",
note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2025.; International Workshop on Lie Theory and Its Applications in Physics, LT 2023 ; Conference date: 18-06-2023 Through 24-06-2023",
year = "2025",
doi = "10.1007/978-981-97-6453-2\_47",
language = "English",
isbn = "9789819764525",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer",
pages = "557--566",
editor = "Vladimir Dobrev",
booktitle = "Lie Theory and Its Applications in Physics, 2023",
}