Bi-algebras in generalized Lie Theory

• Grant number: 15/07917-2
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Duration: July 15, 2015 - August 14, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Chestakov
• Grantee: Ivan Chestakov
• Visiting researcher: Manfred Hartl
• Visiting researcher institution: Université de Valenciennes et du Hainaut-Cambrésis (UVHC), France
• 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

The aim of my visit to Sao Paulo is to take advantage of the presence in summer 2015of I. Shestakov, J. Mostovoy and J.M. Perez-Izquierdo who in recent years developed non-associative Lie theory. Their experience would be of crucial importance in investigating the aspects of primitive operations, dimension subobjects and representations, aiming at proving three conjectures concerning the former two subjects in the general context, and at computing lower central series, the structure of its associated graded objects and representations of cocommutative Hopf algebras. (AU)