Self-similar Lie algebras

• Grant number: 22/10889-4
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
• Start date: March 06, 2023
• End date: March 05, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Dessislava Hristova Kochloukova
• Grantee: Dessislava Hristova Kochloukova
• Visiting researcher: Victor Petrogradskiy
• Visiting researcher institution: Universidade de Brasília (UnB). Instituto de Ciências Exatas, Brazil
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 18/23690-6 - Structures, representations, and applications of algebraic systems, AP.TEM

Abstract

The project studies self-similar Lie algebras and related topics. Our principal project is to show using methods from homological algebra that the Fibonacci Lie algebra is infinitely presented i.e. is not finitely presented. We will study important concepts as virtual endomorphisms of self-similar Lie algebras and new examples of self-similar Lie algebras. (AU)