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Mostrando ítems 1-10 de 21
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 ...
Pares admissíveis, sistemas admissíveis e biálgebras na categoria dos módulos de Yetter-Drinfeld
(Universidade Federal de Santa MariaBRMatemáticaUFSMPrograma de Pós-Graduação em Matemática, 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 ...
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 ...
A classification of Nichols algebras of semisimple Yetter-Drinfeld modules over non-abelian groups
(European Mathematical Society, 2017-02)
Over fields of arbitrary characteristic we classify all braid-indecomposable tuples of at least two absolutely simple Yetter-Drinfeld modules over non-abelian groups such that the group is generated by the support of the ...
Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I: non-semisimple classes in PSLn(q)
(Elsevier Science Inc, 2015-11)
We show that Nichols algebras of most simple Yetter–Drinfeld modules over the projective special linear group over a finite field, corresponding to non-semisimple orbits, have infinite dimension. We spell out a new criterium ...
Álgebras de Hopf trançadas
(2013)
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 ...
On unrolled Hopf algebras
(World Scientific, 2018-02)
We show that the definition of unrolled Hopf algebras can be naturally extended to the Nichols algebra B(V) of a Yetter-Drinfeld module V on which a Lie algebra g acts by biderivations. As a special case, we find unrolled ...
On Nichols algebras over basic Hopf algebras
(Springer, 2020-12-02)
This is a contribution to the classification of finite-dimensional Hopf algebras over an algebraically closed field k of characteristic 0. Concretely, we show that a finite-dimensional Hopf algebra whose Hopf coradical is ...