graduation at Bacharelado em Matemática from Universidade Federal de São Carlos (2024). , acting on the following subjects: álgebras de lie, álgebras de lie semi-simples, sistema de raízes, produto tensorial and classificação. (Source: Lattes Curriculum)
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The main aim of the present project consists in introducing the candidate to the theory of finite-dimensional Lie algebras. He will start from the definition of Lie algebra and he will conclude with the classification of simple complex algebras through the corresponding root systems and Dynkin diagrams. Since the concept of representation is particularly relevant in this theory, in the fi…
The main goal of this projeto is to study categories and tensor products. These are fundamental theories in algebra. Moreover, these topics appear in other research areas, in Mathematics but also in other natural sciences. This project will be fundamental for to prepare the applicant to develop research in this area during his graduate studies.
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