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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 ...
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 ...
Álgebras cuánticas de potencias divididas
(2016-03)
Se definen las álgebras de Lusztig y sus dobles de Drinfeld, las cuánticas de potencias divididas, asociadas a álgebras de Nichols de tipo diagonal de dimensión finita.
En ambos casos se prueba una presentación por ...
Algebraic properties of weak quantum symmetries
(Universidad Nacional de ColombiaBogotá - Ciencias - Doctorado en Ciencias - MatemáticasFacultad de CienciasBogotá,ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2023-07-24)
This thesis investigates the properties of weak bialgebras and weak Hopf algebras, their (co)representations, and applications in groupoids, path algebras, and Lie algebroids. The research employs algebraic and categorical ...