Non-associative Hopf algebras and Sabinin algebras

• Grant number: 14/21137-7
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: February 10, 2015
• End date: August 09, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Chestakov
• Grantee: Ivan Chestakov
• Visiting researcher: Jacob Mostovoy
• Visiting researcher institution: Instituto Politécnico Nacional (IPN), Mexico
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 14/09310-5 - Algebraic structures and their representations, AP.TEM

Abstract

In the recent years there has been a significant progress in developing of the non-associative counterpart of the classical Lie theory. It is largely summarized in the surveypaper "Hopf algebras in non-associative Lie theory" by J.Mostovoy, J.M.Pérez-Izquierdoand I.P.Shestakov. The goal of the present proposal is to answer several open questions in non-associative Lie theory so as to complete the current stage of the research in the field. (AU)