A. M. Elishev, A. Ya. Belov, F. Razavinia, Yu Jie-Tai, Wenchao Zhang, “Polynomial automorphisms, quantization, and Jacobian conjecture related problems. IV. Approximations by polynomial symplectomorphisms”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2022, Volume 216,Pages <nobr>153

Polynomial automorphisms, quantization, and Jacobian conjecture related problems. IV. Approximations by polynomial symplectomorphisms

A. M. Elishev^a, A. Ya. Belov^a, F. Razavinia^a, Yu Jie-Tai^b, Wenchao Zhang^c

^a Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
^b Shenzhen University
^c Huizhou University

Abstract: This paper is the fourth part of a review of results concerning the quantization approach to the some classical aspects of noncommutative algebras. The first part is: Itogi Nauki Tekhn. Sovr. Mat. Prilozh. Temat. Obzory, 213 (2022), pp. 110–144. The second part is: Itogi Nauki Tekhn. Sovr. Mat. Prilozh. Temat. Obzory, 214 (2022), pp. 107–126. The third part is: Itogi Nauki Tekhn. Sovr. Mat. Prilozh. Temat. Obzory, 215 (2022), pp. 95–128. The final part of the survey will be published in the next issue.

Keywords: automorphism, quantization, Jacobian conjecture.

UDC: 512.7

MSC: 14R10, 18G85

DOI: 10.36535/0233-6723-2022-216-153-171