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Álgebras de Hopf trançadas na categoria dos módulos de Yetter-Drinfeld
(Universidade Federal de Santa Maria, 2018-06-25)
Some Hopf algebras braided in the Yetter-Drinfeld modules category have an important role in the classification of pointed Hopf algebras. Our main goal in this work will be to characterize braided Hopf algebras in ...
Teoremas de Maschke
(Universidade Federal de Santa Maria, 2013-05-09)
In representation theory, having a representation of a group G is equivalent to having a kG-module. Since |G-modules which are sums of irreducible kG-modules form a very important class in the theory of modules, to know ...
Extensões de Hopf-Ore e a décima conjectura de Kaplansky
(Universidade Federal de Santa Maria, 2019-06-28)
In this work we will treat, in particular, of the Hopf algebras and Hopf-Ore extensions. One of ours main goals is to prove a theorem that characterizes when a Hopf algebra R is a extension of Hopf-Ore of a Hopf algebra ...
A filtração standard de uma álgebra de Hopf
(Universidade Federal de Santa Maria, 2014-03-25)
In this work we present the lifting method [AS2], which is used to classify certain class of Hopf algebras. Since this method is based on the coradical filtration, it can be used just for those Hopf algebras satisfying the ...
Pares admissíveis, sistemas admissíveis e biálgebras na categoria dos módulos de Yetter-Drinfeld
(Universidade Federal de Santa Maria, 2014-03-19)
The purpose of this work is to study the relationships between admissible pairs, systems admissible and bialgebras in the category of Yetter-Drinfeld modules, as well as some properties of the Hopf algebra associated (via ...