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Ad-invariant metrics on Lie algebras

Grant number: 22/07595-9
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Effective date (Start): September 01, 2022
Effective date (End): 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 of algebraic structures. In addition, he will develop his competencies in mathematical research by the study of bibliography on the topic and calculations in basic examples.(AU)

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