• Álgebras de Hopf, objetos galois e identidades polinomiais 

      Oliveira Júnior, Abel Gomes de (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 21/02/2018)
      Our main goal is to study Hopf algebras and Galois objects, from the point of view of the polynomial identities, more precisely how these objects are distinguished by their polynomial H-identities. To this end we follow ...
    • Estudo de nova fórmula de caracteres para representações de Álgebra de Lie semissimples 

      Matías Gutierrez, Gonzalo Emanuel (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 28/08/2015)
      The objective of this dissertation is descrive formally the irreducible representations of finitedimensional semisimple Lie algebras g over a field F algebraically closed with characteristic zero, as also get some multiplicity ...
    • Identidades Polinomiais ℤ2-Graduadas para as Álgebras M1,1(E) e UT2(F) via representações de grupos 

      Cruz, Karina Branco da (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 01/09/2017)
      In this essay we will briefly study the concept of Algebra. We will introduce a little of Group Representation Theory, looking specifically at Young's Theory, which allows us to present explicitly the decomposition of the ...
    • PI-equivalência em álgebras graduadas simples 

      Naves, Fernando Augusto (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 29/02/2016)
      This work aims to give a description, under certain hypothesis, of the graded simple algebras and prove that they are determined by their graded identities. For this, we study the papers [3] and [19]. More precisely we ...
    • O problema pseudoviscoso e a equação de BBM-Burgers estocásticos 

      Carneiro, Evaneide Alves (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 30/09/2016)
      This work is divided in two parts: In the first part, we study the convergence of a sequence of approximating solutions to a solution of the stochastic conservation law, in the additive and multiplicative case. In the ...
    • Sobre a metrizabilidade do espaço de R-lugares de um corpo de funções F com trdeg_R=1 

      Pereira, Melissa Natasha (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 28/02/2020)
      The main purpose of this work is to study the metrizability of the space of R-places of a function field, with transcendence degree 1 over a real closed field. Specifically, we are going to present a necessary and sufficient ...
    • Symmetric and non-symmetric Jack Functions 

      Hindi, Felipe de Mattos Chafik (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 29/05/2020)
      The goal of this dissertation is to present the theory of Jack functions from the standpoint of algebraic combinatorics. The presentation of symmetric functions is largely centred on the first chapter of MacDonald's ...
    • Identidades e polinômios centrais com involução para a álgebra de Grassmann e álgebra das matrizes triangulares de ordem 3 

      Silva, Dalton Couto (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 30/11/2020)
      Let F be an infinite field of characteristic different from 2. In this thesis we will study the polynomial identities and central polynomials with involution for two important classes of algebras. More precisely, we describe ...