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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields

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Author(s):
Makar-Limanov, Leonid [1, 2, 3] ; Shestakov, Ivan [4]
Total Authors: 2
Affiliation:
[1] Wayne State Univ, Dept Math, Detroit, MI 48202 - USA
[2] Weizmann Inst Sci, Dept Math & Comp Sci, IL-76100 Rehovot - Israel
[3] Univ Michigan, Dept Math, Ann Arbor, MI 48109 - USA
[4] Univ Sao Paulo, Inst Math & Stat, Sao Paulo - Brazil
Total Affiliations: 4
Document type: Journal article
Source: Journal of Algebra; v. 349, n. 1, p. 372-379, JAN 1 2012.
Web of Science Citations: 11
Abstract

We prove that any two Poisson dependent elements in a free Poisson algebra and a free Poisson field of characteristic zero are algebraically dependent, thus answering positively a question from Makar-Limanov and Umirbaev (2007) {[}8]. We apply this result to give a new proof of the tameness of automorphisms for free Poisson algebras of rank two (see Makar-Limanov and Umirbaev (2011) {[}9], Makar-Limanov et al. (2009) {[}10]). (C) 2011 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 06/59114-1 - Leonid Makar Limanov | Wayne State University - Estados Unidos
Grantee:Ivan Chestakov
Support Opportunities: Research Grants - Visiting Researcher Grant - International