Classificação das subálgebras de Lie de gl (2, R)

Abstract

This work presents results from an initial study on Lie Algebra Theory, initially developed in a Voluntary Scientific Initiation Project, at the Federal Technological University of Paraná (UTFPR) - Toledo Campus. First, we propose an introduction of the theory, using topics of Linear Algebra; then we show results from an initial study on Lie Algebra. We seek new examples and demonstrations for some points, as well as presenting a classification of low dimension Lie subalgebras. We hope to contribute to future studies by other academics presenting an interpretation with language closer to the undergraduate student’s understanding.