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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


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)

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