Combinatorial Hopf algebras in pure and applied mathematics

• Grant number: 15/06858-2
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: August 23, 2015
• End date: September 23, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Igor Mencattini
• Grantee: Igor Mencattini
• Visiting researcher: Kurusch Ebrahimi-Fard
• Visiting researcher institution: Université de Haute-Alsace , France
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• City of the host institution: São Carlos

Abstract

This research project aims at a deeper understanding of the mathematical aspects of a class of Hopf algebras of combinatorial type. The central object of this project is a family of closely related Lie admissible algebras known as pre-Lie algebras. More precisely, we aim to study the Hopf sub-algebra of the circle rooted trees that play the same role as the Hopf sub-algebra of ladder graphs in the case of the Connes and Kreimer Hopf algebra. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

EBRAHIMI-FARD, KURUSCH; MENCATTINI, IGOR; MUNTHE-KAAS, HANS. Post-Lie algebras and factorization theorems. JOURNAL OF GEOMETRY AND PHYSICS, v. 119, p. 19-33, SEP 2017. (15/06858-2)