Ualbay Umirbayev | South Kazakhstan State University - Cazaquistão

• Grant number: 00/06832-8
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: October 09, 2000
• End date: 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
• Host 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)