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Representações dos grupos simétrico e alternante e aplicações às identidades polinomiais
(Universidade Federal de São Carlos, 2014-11-28)
In this dissertation we ll present a discussion about the Representations of the Symmetric Group Sn and Alternating Group An. We ll study basics results of the Young s Theory about the representations of the Symmetric Group ...
O princípio do máximo de Omori-Yau e generalizações
(Universidade Federal de São Carlos, 2014-01-31)
In this work we seek to establish a first contact with Geometric Analysis, aiming the understanding of the Good Shadow Principle of Fontenele and Xavier ([FX11]), which is a generalization of the Omori-Yau Principle. We ...
Exemplos de T-espaços e T-ideais infinitamente gerados
(Universidade Federal de São Carlos, 2014-08-14)
Let F be a field of characteristic p ≥ 3. Denote by F0(X) and F1(X) the free associative algebras without and with unity, respectively, freely generated by the infinite set X. In this dissertation we study T-spaces ...
Classes de Reidemeister para coincidências entre secções de um fibrado
(Universidade Federal de São Carlos, 2014-03-28)
In this work we study the theory of Reidemeister coincidence classes for coincidences between two sections s; f : B → E de um fibrado q : E → B, both the algebraic treatment by the Reidemeister action and the ...
Uma versão abstrata do teorema de Cauchy-Kowalevski
(Universidade Federal de São Carlos, 2013-08-22)
Our main goal in this work is to present an abstract version of Cauchy-Kowalevski theorem and use it to solve the periodic Cauchy problem for the Camassa-Holm equation.
Operadores lineares em espaços de Hardy
(Universidade Federal de São Carlos, 2015-03-13)
The present work aims to present an example of linear a functional defined on a dense subspace of the Hardy space H1(Rn) to be built, with the intention of showing that despite the fact that this functional is uniformly ...
Espectro do operador Laplaciano de Dirichlet em tubos deformados
(Universidade Federal de São Carlos, 2014-03-21)
Let Ω be a deformed tube in R3 and −∆Ω
D the Dirichlet Laplacian operator
in Ω. In this work, we are going to study the spectrum σ(−∆Ω
D) of the operator
−∆Ω
D. More precisely, we are going to analize how the geometrical ...
Um estudo qualitativo do contraexemplo de Pinchuk
(Universidade Federal de São Carlos, 2017-02-24)
In this work we studied the topological behaviour of the level curves of the polinomial p
of Pinchuk counterexample of the Real Jacobian Conjecture, namely, a polinomial non
injective map of R^2 with the form (p,q) with ...
Solução do problema da conjugação para algumas extensões de grupos
(Universidade Federal de São Carlos, 2017-02-23)
This essay is a detailed introductory study of Combinatorial Group Theory and one of its three classical problems: the Conjugacy Problem. We studied its solution for several classes of group extensions, obtained in [1] and ...
Imersões de variedades de Dold e de Wall em espaços euclidianos
(Universidade Federal de São Carlos, 2017-03-10)