• 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 ...
    • Extensões H-cleft distinguidas por H-identidades polinomiais 

      Oliveira Jr., Abel Gomes de (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 27/05/2022)
      Our main object of study is the well-known question asking whether the set of polynomials identities distinguishes PI-algebras up to isomorphism. Let k be an algebraically closed field of characteristic 0 and H a non-semisimple ...
    • 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 ...