Introduction to Lie algebras

• Grant number: 13/19827-2
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: November 01, 2013
• End date: October 31, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Igor Mencattini
• Grantee: Juliano Silva de Moraes
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This project of IC has as a main goal the introduction to the theory of the simples, finite dimensional Lie algebras defined over the field of the complex numbers. A particular emphasis will be given to the classification theorem of Cartan-Killing. In the final part of the project we will learn the so called Ado theorem, which is an important result of the theory of finite dimensional algebras defined over a field of characteristic zero.