| Grant number: | 00/06832-8 |
| Support type: | Research Grants - Visiting Researcher Grant - International |
| Duration: | October 09, 2000 - August 31, 2001 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
| Principal Investigator: | Ivan Chestakov |
| Grantee: | Ivan Chestakov |
| Visiting researcher: | Ualbay Umirbayev |
| Visiting researcher institution: | South Kazakhstan State University (SKSU), Kazakhstan |
| Home Institution: | Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
Abstract
The objective of research is the study of combinatorial and algorithmic problems in free Poisson-Lie algebras, free Akivis algebras, and in free associative and polynomial algebras. Centralizers of elements and two-gener. Ated sub-algebras in free Poisson algebras will be studied; the sub-algebras, primitive elements, and automorphisms of free Akivis algebras will be investigated; the occurrence problem for free associative and polynomial algebras will be investigated. (AU)