graduation at Matemática from Universidade Estadual de Campinas (2024). Has experience in Mathematics, acting on the following subjects: lie algebras, geometry and topology (Source: Lattes Curriculum)
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This project aims to understand research techniques in the geometry of pseudo-Riemannian Lie groups that have a left-invariant metric. This can be done by studying the group of isometries of these varieties. The focus is on certain low-dimensional solvable pseudo-Riemannian Lie groups, and on understanding the known results to carry out a possible extension of these results to more genera…
The present project aims to deepen the student's understanding of the structure of an abstract Lie algebra equipped with an ad-invariant metric. In this regard, the objective is to comprehend the classification of Lie algebras of fixed dimension endowed with this type of function, up to isomorphism. More precisely, the classification will be studied in algebras of dimension up to 4.Additi…
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 bibliograph…
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