Leonid Makar Limanov | Wayne State University - Estados Unidos

• Grant number: 11/52030-5
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: May 01, 2012
• End date: August 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Chestakov
• Grantee: Ivan Chestakov
• Visiting researcher: Leonid Makar Limanov
• Visiting researcher institution: Wayne State University (WSU), United States
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 10/50347-9 - Algebras, representations e applications, AP.TEM

Abstract

We plan to work on questions related to the groups of automorphisms of free algebras of rank three i.e. polynomial algebra of rank three, free associative algebra of rank three, and free Poisson algebra of rank three. In the case of Poisson algebra we will also attempt to describe the group of automorphisms for free Poisson algebra of rank two in the case of finite characteristic. We plan also to consider Freiheitssatz and Poisson and polynomial dependence in finite characteristic. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

MAKAR-LIMANOV, L. G.. On the Newton polyhedron of a Jacobian pair. IZVESTIYA MATHEMATICS, v. 85, n. 3, p. 457-467, JUN 2021. (11/52030-5)

KOLESNIKOV, PAVEL S.; MAKAR-LIMANOV, LEONID G.; SHESTAKOV, IVAN P.. The Freiheitssatz for Generic Poisson Algebras. Symmetry Integrability and Geometry-Methods and Applications, v. 10, 2014. (10/50347-9, 12/04704-0, 11/52030-5)

MAKAR-LIMANOV, LEONID. A new proof of the Abhyankar-Moh-Suzuki theorem via a new algorithm for the polynomial dependence. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 14, n. 9, NOV 2015. (11/52030-5)