Free Poisson fields and their automorphisms-Reference-Cited by-同舟云学术

Free Poisson fields and their automorphisms

Published:2016-11-24 Issue:10 Volume:15 Page:1650196
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Makar-Limanov Leonid¹²³,Umirbaev Ualbai³⁴

Affiliation:

1. The Weizmann Institute of Science, Rehovot, Israel

2. University of Michigan, Ann Arbor, USA

3. Wayne State University, Detroit, MI 48202, USA

4. Eurasian National University, Astana, Kazakhstan

Abstract

Let [Formula: see text] be an arbitrary field of characteristic [Formula: see text]. We prove that the group of automorphisms of a free Poisson field [Formula: see text] in two variables [Formula: see text] over [Formula: see text] is isomorphic to the Cremona group [Formula: see text]. We also prove that the universal enveloping algebra [Formula: see text] of a free Poisson field [Formula: see text] is a free ideal ring and give a characterization of the Poisson dependence of two elements of [Formula: see text] via universal derivatives.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498816501966

Reference30 articles.

1. Subalgebras of Free Associative Algebras

2. Free Ideal Rings and Localization in General Rings

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