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Extensões de Hopf-Ore e a décima conjectura de Kaplansky
(Universidade Federal de Santa MariaBrasilMatemáticaUFSMPrograma de Pós-Graduação em MatemáticaCentro de Ciências Naturais e Exatas, 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 ...
Ejemplos de álgebras de Hopf semisimples y de álgebras de Hopf con la propiedad de Chevalley dual
(2016-02)
En la primera parte de esta tesis, damos ejemplos, y planteamos algunas preguntas, sobre extensiones de álgebras de Hopf semisimples. Para esto, definimos la noción de longitud de un álgebra de Hopf, por ejemplo, que un ...
Numerical semi-global analysis of a 1:2 resonant Hopf-Hopf bifurcation
(Elsevier Science, 2013-03)
In this paper, a numerical semi-global analysis of the dynamics near a 1:2 resonant Hopf-Hopf bifurcation on a four-dimensional mathematical model of a simple nonlinear oscillator is performed. The 1:2 resonant Hopf-Hopf ...
Examples of extensions of hopf algebrasEjemplos de extensiones de álgebras de Hopf
(2015)
We give some examples of, and raise some questions on, extensions of semisimple Hopf algebras.
Examples of pointed color Hopf algebras
(2014)
We present examples of color Hopf algebras, i.e. Hopf algebras in color categories (braided tensor categories with braiding induced by a bicharacter on an abelian group), related with quantum doubles of pointed Hopf algebras. ...
Examples of pointed color Hopf algebras
(World Scientific, 2014-04)
We present examples of color Hopf algebras, i.e. Hopf algebras in color categories (braided tensor categories with braiding induced by a bicharacter on an abelian group), related with quantum doubles of pointed Hopf algebras. ...
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 ...
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 ...
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 ...
Representations of copointed Hopf algebras arising from the tetrahedron rack
(Springer, 2013-12)
We study the copointed Hopf algebras attached to the Nichols algebra of the affine rack Aff(F4,w), also known as tetrahedron rack, and the 2-cocycle −1. We investigate the so-called Verma modules and classify all the ...