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Álgebras de Hopf fracas associadas a grupóides duplos vacantes
(Universidade Federal de Santa MariaBrasilMatemáticaUFSMPrograma de Pós-Graduação em MatemáticaCentro de Ciências Naturais e Exatas, 2015-08-28)
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Álgebras de Hopf trançadas na categoria dos módulos de Yetter-Drinfeld
(Universidade Federal de Santa MariaBrasilMatemáticaUFSMPrograma de Pós-Graduação em MatemáticaCentro de Ciências Naturais e Exatas, 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 ...
On Hopf algebras with triangular decomposition
(AMS, 2019-04)
In this survey, we first review some known results on the representationtheory of algebras with triangular decomposition, including the classification of the simple modules. We then discuss a recipe to construct Hopf ...
Copointed Hopf algebras over S4
(Elsevier Science, 2018-09)
We study the realizations of certain braided vector spaces of rack type as Yetter–Drinfeld modules over a cosemisimple Hopf algebra H. We apply the strategy developed in [1] to compute their liftings and use these results ...
Families of finite-dimensional Hopf algebras with the Chevalley property
(Springer, 2013-10)
We introduce and study new families of nite-dimensional Hopf algebras with the Chevalley property that are not pointed nor semisimple arising as twistings of quantum linear spaces. These Hopf algebras generalize the examples ...
A Hopf-Galois correspondence for free algebras
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2004)
Examples of finite-dimensional Hopf algebras with the dual Chevalley property
(Universitat Autònoma de Barcelona, 2017-05)
We present new Hopf algebras with the dual Chevalley property by determining all semisimple Hopf algebras Morita-equivalent to a group algebra over a finite group, for a list of groups supporting a non-trivial finite-dimensional ...
Álgebras de Hopf, objetos galois e identidades polinomiais
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2018-02-21)
Our main goal is to study Hopf algebras and Galois objects, from the point of view of
the polynomial identities, more precisely how these objects are distinguished by their
polynomial H-identities. To this end we follow ...