Polynomial automorphisms, quantization, and Jacobian conjecture related problems. II. Quantization proof of Bergman’s centralizer theorem

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Abstract

The purpose of this review is the collection and systematization of results concerning the quantization approach to the some classical aspects of non-commutative algebras, especially to the Jacobian conjecture. We start with quantization proof of Bergman centralizing theorem, then discourse authomorphisms of INd-schemes authomorphisms, then go to aproximation issues. Last chapter dedicated to relations between PI -theory Burnside type theorems and Jacobian Conjecture (Jagzev approach). This issue contains the second part of the work. The first part is: Itogi Nauki Tekhn. Sovr. Mat. Prilozh. Temat. Obzory, 213 (2022), pp. 110-144. Continuation will be published in future issues.

About the authors

A. M. Elishev

Московский физико-технический институт (национальный исследовательский университет)

Author for correspondence.
Email: ame1511@mail.ru
Russian Federation, Москва

A. Ya. Kanel-Belov

Московский физико-технический институт (национальный исследовательский университет)

Email: kanelster@gmail.com
Russian Federation, Москва

Farrokh Razavinia

Московский физико-технический институт (национальный исследовательский университет)

Email: farrokh.razavinia@gmail.com
Russian Federation, Москва

Jie-Tai Yu

Шэньчженьский университет

Email: yujt@hkucc.hku.hk
China, Шэньчжень

Wenchao Zhang

Университет Хуэйчжоу

Email: zhangwc@hzu.edu.cn

Школа математики и статистики

China

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