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Um estudo sobre tensores de segunda ordem
(Universidade Estadual Paulista (Unesp), 2018-12-18)
O objetivo dessa dissertação é apresentar algumas observações sobre os tensores de segunda ordem, da forma como são vistos nas engenharias, usando conceitos de Álgebra Linear. Trata-se de um estudo introdutório, que pretende ...
Álgebras e coálgebras
(Universidade Tecnológica Federal do ParanáToledoBrasilLicenciatura em MatemáticaUTFPR, 2016-11-25)
The present work aims to define and exemplify algebras and coalgebras, using the tensor product. Two important results are presented, the first one, the fact that if there is a finite dimensional algebra, then when one ...
De-Equivariantization of Hopf Algebras
(Springer, 2014-02)
We study the de-equivariantization of a Hopf algebra by an affine group scheme and we apply Tannakian techniques in order to realize it as the tensor category of comodules over a coquasi-bialgebra. As an application we ...
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 ...
Representation type of Jordan algebras
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2011)
The problem of classification of Jordan bit-nodules over (non-semisimple) finite dimensional Jordan algebras with respect to their representation type is considered. The notions of diagram of a Jordan algebra and of Jordan ...
On the rank and the approximation of symmetric tensors
(Elsevier Science Inc., 2021-11)
In this work we study different notions of ranks and approximation of tensors. We consider the tensor rank, the nuclear rank and we introduce the notion of symmetric decomposable rank, a notion of rank defined only on ...
Pointed finite tensor categories over abelian groups
(World Scientific, 2017-10)
We give a characterization of finite pointed tensor categories obtained as de-equivariantizations of the category of corepresentations of finite-dimensional pointed Hopf algebras with abelian group of group-like elements ...
Tensores integrais em álgebras de Hopf
(Universidade Federal de Pernambuco, 2015)