| Grant number: | 11/52030-5 |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| Duration: | May 01, 2012 - 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)
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