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Algebras de Hopf punteadas sobre los grupos simétricos S3 y S4 /
(2010)
Esta tesis concierne la clasificación de álgebras de Hopf punteadas de dimensión finita sobre un cuerpo algebraicamente cerrado de característica cero.
Consideramos tanto álgebras de Hopf sobre grupos abelianos como no ...
Álgebra de Hopf trançada a partir de um par combinado de grupos
(Universidade Federal de Santa MariaBrasilMatemáticaUFSMPrograma de Pós-Graduação em MatemáticaCentro de Ciências Naturais e Exatas, 2014-08-15)
Let (F,G, ◃, ▹) be a matched pair of finite groups and σ : F × F −→ (|×)G and
τ : G×G −→ (|×)F two 2-cocycles. In general, the bicrossed product R = |G ∗τ
σ |F
is not a bialgebra, neither a braided Hopf algebra. The ...
Finite-dimensional pointed or copointed Hopf algebras over affine racks
(Academic Press Inc Elsevier Science, 2014-01)
We study the pointed or copointed liftings of Nichols algebras associated to affine racks and constant cocycles for any finite group admitting a principal YD-realization of these racks. In the copointed case we complete ...
Combinatorial hopf algebras on baxter binary trees
(2012)
This thesis is developed in the area of combinatorial algebraic structures on planar binary trees, particularly, combinatorial Hopf algebras.In 1995, Claudia Malvenuto and Christophe Reutenauer introduced a graded Hopf ...
On the structure of (co-Frobenius) Hopf algebras
(European Mathematical Society, 2013-03)
We introduce a new filtration on Hopf algebras, the standard filtration, generalizing the coradical filtration. Its zeroth term, called the Hopf coradical, is the subalgebra generated by the coradical. We give a structure ...
Tensores integrais em álgebras de Hopf
(Universidade Federal de Pernambuco, 2015)
Minimum depth of double cross product extensions
(2020)
In this paper we explore minimum odd and minimum even depth sub- algebra pairs in the context of double cross products of finite dimensional Hopf algebras. We start by defining factorization algebras and outline how subring ...
Sobre a antípoda de uma álgebra de Hopf quase triangular
(Universidade Federal de Santa MariaBrasilMatemáticaUFSMPrograma de Pós-Graduação em MatemáticaCentro de Ciências Naturais e Exatas, 2014-07-25)
Não foi possível inserir o abstract.