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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 ...
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 ...
Grafos eulerianos e identidades polinomiais na álgebra Mn(K)
(Universidade Federal de São Carlos, 2013-08-27)
In this work we present some applications of graph theory in problems involving polynomial identities for the algebra Mn (K). A brief presentation of PI-theory and some concepts of graph theory, such as the definition of ...
Teoria de invariantes de formas binárias
(Universidade Federal de São Carlos, 2010-03-26)
In this work, we studied article [6], that answers the following questions:how are all covariants of binary forms? What are and how to find the canonicalforms of the binary forms of degree n? Is there a finite generating ...
Graduações e identidades polinomiais graduadas para a álgebra de matrizes triangulares superiores
(Universidade Federal de São Carlos, 2020-12-03)
Let F be a field and let G be a group. Denote by UTn(F) the algebra of n × n upper triangular matrices over F.
The mathematicians Valenti and Zaicev described all G-gradings on UTn(F), and the mathematicians Di Vincenzo, ...