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PI-equivalência em álgebras graduadas simples
(Universidade Federal de São Carlos, 2016-02-29)
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 ...
Estudo de nova fórmula de caracteres para representações de Álgebra de Lie semissimples
(Universidade Federal de São Carlos, 2015-08-28)
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 ...
O problema pseudoviscoso e a equação de BBM-Burgers estocásticos
(Universidade Federal de São Carlos, 2016-09-30)
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 ...
Identidades Polinomiais ℤ2-Graduadas para as Álgebras M1,1(E) e UT2(F) via representações de grupos
(Universidade Federal de São Carlos, 2017-09-01)
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 ...
Álgebras de Hopf, objetos galois e identidades polinomiais
(Universidade Federal de São Carlos, 2018-02-21)
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 ...