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Estudos sobre A-identidades polinomiais
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2021-07-21)
The aim of this work is to study A-identities in associative algebras. More specifically, we study the A-identities of the tensor square of the unitary and infinite dimensional Grassmann algebra E, denoted by R, and we ...
Representações dos grupos simétrico e alternante e aplicações às identidades polinomiais
(Universidade Federal de São CarlosBRUFSCarPrograma de Pós-Graduação em Matemática - PPGM, 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 ...
Identidades e polinômios centrais com involução para a álgebra de Grassmann e álgebra das matrizes triangulares de ordem 3
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2020-11-30)
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 ...
Extended Grassmann and Clifford algebras
(Birkhauser Verlag AgBaselSuíça, 2006)
Z(2)-Graded Gelfand-Kirillov dimension of the Grassmann algebra
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2014)
The centre of generic algebras of small PI algebras
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2013)
Identidades Polinomiais ℤ2-Graduadas para as Álgebras M1,1(E) e UT2(F) via representações de grupos
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus 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 ...