Homological and combinatorial methods in the theory of Lie Algebras and groups

• Grant number: 19/21927-1
• Support Opportunities: Scholarships in Brazil - Doctorate
• Effective date (Start): April 01, 2020
• Effective date (End): March 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Dessislava Hristova Kochloukova
• Grantee: Esteban de Jesús García Hernández
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

We will study when a metabelian restricted Lie algebra has homological type FPm generalizando a recent result of Kochloukova and Leon. As well we will study the weak commutativity construction for restricted Lie algebras and groups with the aim to generalize some recent structural results of Bridson, Kochloukova, Martinez-Perez, Mendonça. (AU)