Ad-invariant metrics on Lie algebras

• Grant number: 22/07595-9
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2022
• End date: August 31, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Viviana Jorgelina Del Barco
• Grantee: Marcos Ricardo Cavicchioli de Almeida
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 18/13481-0 - Geometry of control, dynamical and stochastic systems, AP.TEM

Abstract

The present project aims at introducing the student to the study of Lie algebras endowed with an ad-invariant metric. Through the involvement in this project and starting from the tools acquired during the undergraduate courses, the student will enlarge his knowledge on algebraic structures. In addition, he will develop his competences in mathematical research by the study of bibliography in the topic and calculations in basic examples.